Edit Profile (opens in new tab) Fiorenza, Alberto Co-Author Distance Author ID: fiorenza.alberto Published as: Fiorenza, Alberto; Fiorenza, A. Homepage: http://wpage.unina.it/fiorenza/ External Links: dblp · IdRef Documents Indexed: 109 Publications since 1987, including 1 Book and 2 Additional arXiv Preprints 1 Further Contribution Reviewing Activity: 3 Reviews Co-Authors: 50 Co-Authors with 91 Joint Publications 1,004 Co-Co-Authors all top 5 Co-Authors 19 single-authored 19 Cruz-Uribe, David Vincente 14 Rakotoson, Jean-Michel 9 Capone, Claudia 9 Formica, Maria Rosaria 8 Di Fratta, Giovanni 8 Gogatishvili, Amiran 8 Krbec, Miroslav 6 Jain, Pankaj 5 Ahmed, Irshaad 4 Chill, Ralph 3 Anatriello, Giuseppina 3 Giannetti, Flavia 3 Gupta, Babita 3 Karadzhov, Georgi Eremiev 3 Kopaliani, Tengiz 3 Neugebauer, Christoph J. 2 Jain, Sandhya 2 Kokilashvili, Vakhtang 2 Mercaldo, Anna 2 Meskhi, Alexander 2 Roskovec, Tomáš G. 2 Sbordone, Carlo 2 Slastikov, Valeriy V. 2 Soudský, Filip 2 Vincenzi, Giovanni 1 Ahmida, Youssef 1 Carlone, Raffaele 1 D’Aristotile, Anna Maria 1 Davoli, Elisa 1 Diening, Lars 1 Edmunds, David Eric 1 El Hamidi, Abdallah 1 Farroni, Fernando 1 Giova, Raffaella 1 Giovanni, Vincenzi 1 Guzmán, Oscar Mauricio 1 Hafeez, Aneesa 1 Happ, Leon 1 Kałamajska, Agnieszka 1 Król, Sebastian 1 Martell, José María (Chema) 1 Nazeer, Waqas 1 Nekvinda, Aleš 1 Pérez, Carlos 1 Prignet, Alain 1 Ruzhansky, Michael V. 1 Schmeisser, Hans-Jürgen 1 Talponen, Jarno 1 Tentarelli, Lorenzo 1 Tikhonov, Sergey Yur’evich 1 Wirth, Jens 1 Youssfi, Ahmed 1 Zitouni, L. all top 5 Serials 5 Journal of Mathematical Analysis and Applications 4 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Ricerche di Matematica 3 Zeitschrift für Analysis und ihre Anwendungen 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Revista Matemática Complutense 3 Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche. Serie IV 2 Studia Mathematica 2 Archiv der Mathematik 2 Collectanea Mathematica 2 Mathematische Nachrichten 2 Publicacions Matemàtiques 2 Differential and Integral Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Georgian Mathematical Journal 2 Communications in Contemporary Mathematics 2 Journal of Function Spaces and Applications 2 Mediterranean Journal of Mathematics 2 Journal of Function Spaces 1 Analysis Mathematica 1 Houston Journal of Mathematics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Canadian Mathematical Bulletin 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Convex Analysis 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Positivity 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Acta Mathematica Sinica. English Series 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Differential Equations and Applications 1 Annals of Functional Analysis 1 Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Transactions of A. Razmadze Mathematical Institute 1 Applied and Numerical Harmonic Analysis 1 Advanced Courses in Mathematics – CRM Barcelona 1 Mathematics in Engineering 1 Constructive Mathematical Analysis all top 5 Fields 82 Functional analysis (46-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 28 Real functions (26-XX) 25 Partial differential equations (35-XX) 12 Operator theory (47-XX) 4 Potential theory (31-XX) 3 Integral equations (45-XX) 2 Number theory (11-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 2,621 times in 1,362 Documents Cited by ▼ Year ▼ Variable Lebesgue spaces. Foundations and harmonic analysis. Zbl 1268.46002 Cruz-Uribe, David V.; Fiorenza, Alberto 702 2013 The boundedness of classical operators on variable \(L^p\) spaces. Zbl 1100.42012 Cruz-Uribe, D.; Fiorenza, A.; Martell, J. M.; Pérez, C. 268 2006 The maximal function on variable \(L^p\) spaces. Zbl 1037.42023 Cruz-Uribe, D.; Fiorenza, A.; Neugebauer, C. J. 216 2003 Duality and reflexivity in grand Lebesgue spaces. Zbl 0960.46022 Fiorenza, Alberto 116 2000 The fractional maximal operator and fractional integrals on variable \(L^p\) spaces. Zbl 1213.42063 Capone, Claudia; Cruz-Uribe, David; Fiorenza, Alberto 111 2007 The maximal theorem for weighted grand Lebesgue spaces. Zbl 1161.42011 Fiorenza, Alberto; Gupta, Babita; Jain, Pankaj 108 2008 Grand and small Lebesgue spaces and their analogs. Zbl 1071.46023 Fiorenza, A.; Karadzhov, G. E. 102 2004 Existence and uniqueness results for solutions of nonlinear equations with right hand side in \(L^1\). Zbl 0891.35039 Fiorenza, A.; Sbordone, C. 71 1998 On small Lebesgue spaces. Zbl 1078.46017 Capone, Claudia; Fiorenza, Alberto 69 2005 Weighted norm inequalities for the maximal operator on variable Lebesgue spaces. Zbl 1298.42021 Cruz-Uribe, D.; Fiorenza, A.; Neugebauer, C. J. 59 2012 Corrections to “The maximal function on variable \(L^p\) spaces”. Zbl 1064.42500 Cruz-Uribe, D.; Fiorenza, A.; Neugebauer, C. J. 52 2004 A direct approach to the duality of grand and small Lebesgue spaces. Zbl 1184.46032 Di Fratta, Giovanni; Fiorenza, Alberto 49 2009 Endpoint estimates and weighted norm inequalities for commutators of fractional integrals. Zbl 1035.42015 Cruz-Uribe, D.; Fiorenza, A. 40 2003 Indices of Orlicz spaces and some applications. Zbl 0937.46023 Fiorenza, Alberto; Krbec, Miroslav 34 1997 A new proof of the boundedness of maximal operators on variable Lebesgue spaces. Zbl 1207.42011 Cruz-Uribe, D.; Diening, L.; Fiorenza, A. 32 2009 On grand and small Lebesgue and Sobolev spaces and some applications to PDE’s. Zbl 1398.46025 Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran 30 2018 New properties of small Lebesgue spaces and their applications. Zbl 1037.46025 Fiorenza, A.; Rakotoson, J. M. 25 2003 Characterization of interpolation between grand, small or classical Lebesgue spaces. Zbl 1409.46025 Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran; Kopaliani, Tengiz; Rakotoson, Jean Michel 25 2018 \(L\log L\) results for the maximal operator in variable \(L^p\) spaces. Zbl 1163.42006 Cruz-Uribe, D.; Fiorenza, A. 22 2009 Fully measurable grand Lebesgue spaces. Zbl 1333.46025 Anatriello, G.; Fiorenza, A. 21 2015 Some estimates in \(G\Gamma (p,m,w)\) spaces. Zbl 1144.46027 Fiorenza, A.; Rakotoson, J. M. 20 2008 Regularity and uniqueness results in grand Sobolev spaces for parabolic equations with measure data. Zbl 1007.35034 Fiorenza, Alberto; Mercaldo, Anna; Rakotoson, Jean Michel 17 2002 Approximate identities in variable \(L^{p }\) spaces. Zbl 1178.42022 Cruz-Uribe, D.; Fiorenza, A. 17 2007 Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications. Zbl 1098.46025 Fiorenza, A.; Rakotoson, J. M. 16 2006 Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces. Zbl 1312.42017 Chill, Ralph; Fiorenza, Alberto 16 2014 The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions. Zbl 06732251 Carlone, Raffaele; Fiorenza, Alberto; Tentarelli, Lorenzo 15 2017 Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations. Zbl 1115.35021 Chill, Ralph; Fiorenza, Alberto 14 2006 Limit of ratio of consecutive terms for general order-\(k\) linear homogeneous recurrences with constant coefficients. Zbl 1258.11015 Fiorenza, Alberto; Vincenzi, Giovanni 14 2011 On the domain and range of the maximal operator. Zbl 1039.42015 Fiorenza, Alberto; Krbec, Miroslav 13 2000 Some new results related to Lorentz \(G\Gamma\)-spaces and interpolation. Zbl 1442.46014 Ahmed, Irshaad; Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran; Rakotoson, Jean Michel 12 2020 Pointwise estimates for \(G\Gamma\)-functions and applications. Zbl 1413.35161 Fiorenza, Alberto; Formica, Maria Rosaria; Rakotoson, Jean Michel 12 2017 Detailed proof of classical Gagliardo-Nirenberg interpolation inequality with historical remarks. Zbl 1479.46038 Fiorenza, Alberto; Formica, Maria Rosaria; Roskovec, Tomáš G.; Soudský, Filip 12 2021 Small Lebesgue spaces and their applications. (Petits espaces de Lebesgue et quelques applications.) Zbl 0999.46017 Fiorenza, Alberto; Rakotoson, Jean-Michel 11 2002 Relative rearrangement method for estimating dual norms. Zbl 1178.46026 Fiorenza, A.; Rakotoson, J. M.; Zitouni, L. 11 2009 Some interpolation formulae for grand and small Lorentz spaces. Zbl 1453.46019 Ahmed, Irshaad; Fiorenza, Alberto; Hafeez, Aneesa 11 2020 On an optimal decomposition in Zygmund spaces. Zbl 1015.46018 Fiorenza, Alberto; Krbec, Miroslav 10 2002 Weighted endpoint estimates for commutators of fractional integrals. Zbl 1174.42013 Cruz-Uribe, D.; Fiorenza, A. 10 2007 An improvement of dimension-free Sobolev imbeddings in r.i. spaces. Zbl 1312.46043 Fiorenza, Alberto; Krbec, Miroslav; Schmeisser, Hans-Jürgen 10 2014 Grand Orlicz spaces and global integrability of the Jacobian. Zbl 1162.46019 Capone, C.; Fiorenza, A.; Karadzhov, G. E. 9 2008 Hardy-Littlewood maximal operator in weighted grand variable exponent Lebesgue space. Zbl 1375.26014 Fiorenza, Alberto; Kokilashvili, Vakhtang; Meskhi, Alexander 9 2017 Regularity and comparison results in grand Sobolev spaces for parabolic equations with measure data. Zbl 0983.35067 Fiorenza, A.; Mercaldo, A.; Rakotoson, J. M. 8 2001 The \(A_\infty\) property for Young functions and weighted norm inequalities. Zbl 1041.42009 Cruz-Uribe, D.; Fiorenza, A. 8 2002 Relative rearrangement and Lebesgue spaces \(L^p(\cdot)\) with variable exponent. Zbl 1137.46016 Fiorenza, A.; Rakotoson, J. M. 8 2007 A sharp blow-up estimate for the Lebesgue norm. Zbl 1441.46023 Farroni, Fernando; Fiorenza, Alberto; Giova, Raffaella 8 2019 A modular variable Orlicz inequality for the local maximal operator. Zbl 1392.42019 Capone, Claudia; Cruz-Uribe, David; Fiorenza, Alberto 7 2018 A mean continuity type result for certain Sobolev spaces with variable exponent. Zbl 1015.46019 Fiorenza, Alberto 7 2002 Orlicz capacities and applications to some existence questions for elliptic PDEs having measure data. Zbl 1075.35012 Fiorenza, Alberto; Prignet, Alain 7 2003 Strongly nonlinear Gagliardo-Nirenberg inequality in Orlicz spaces and Boyd indices. Zbl 1372.46024 Capone, Claudia; Fiorenza, Alberto; Kałamajska, Agnieszka 7 2017 Boundedness of Stein’s spherical maximal function in variable Lebesgue spaces and application to the wave equation. Zbl 1267.42019 Fiorenza, Alberto; Gogatishvili, Amiran; Kopaliani, Tengiz 7 2013 Nonlinear harmonic analysis of integral operators in weighted grand Lebesgue spaces and applications. Zbl 1400.42010 Fiorenza, Alberto; Kokilashvili, Vakhtang 7 2018 A formula for the Boyd indices in Orlicz spaces. Zbl 0931.46025 Fiorenza, Alberto; Krbec, Miroslav 6 1998 On a measure of non-compactness for some classical operators. Zbl 1282.42012 Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander 6 2006 On extrapolation blowups in the \(l_{p}\) scale. Zbl 1142.42003 Capone, Claudia; Fiorenza, Alberto; Krbec, Miroslav 6 2006 Gagliardo-Nirenberg inequality for rearrangement-invariant Banach function spaces. Zbl 1442.46025 Fiorenza, Alberto; Formica, Maria Rosaria; Roskovec, Tomáš; Soudský, Filip 6 2019 Identification of fully measurable grand Lebesgue spaces. Zbl 1386.46029 Anatriello, Giuseppina; Chill, Ralph; Fiorenza, Alberto 6 2017 The Riesz potential operator in optimal couples of rearrangement invariant spaces. Zbl 1225.46020 Capone, C.; Fiorenza, A.; Karadzhov, G. E.; Nazeer, Waqas 6 2011 From Fibonacci sequence to the Golden ratio. Zbl 1268.11022 Fiorenza, Alberto; Vincenzi, Giovanni 6 2013 Embeddings between grand, small, and variable Lebesgue spaces. Zbl 1390.46031 Cruz-Uribe, D.; Fiorenza, A.; Guzmán, O. M. 5 2017 An inequality for Jensen means. Zbl 0737.46009 Fiorenza, Alberto 5 1991 Maximal inequalities in weighted Orlicz spaces. Zbl 1162.42307 Capone, Claudia; Fiorenza, Alberto 4 1995 Boundedness of the Dunkl-Hausdorff operator in Lebesgue spaces. Zbl 07524120 Jain, Sandhya; Fiorenza, Alberto; Jain, Pankaj 4 2021 Variable exponents and grand Lebesgue spaces: some optimal results. Zbl 1351.46024 Fiorenza, Alberto; Rakotoson, Jean Michel; Sbordone, Carlo 4 2015 Modular inequalities for the maximal operator in variable Lebesgue spaces. Zbl 1412.42047 Cruz-Uribe, David; Di Fratta, Giovanni; Fiorenza, Alberto 4 2018 On Orlicz capacities and a nonexistence result for certain elliptic PDEs. Zbl 1326.31004 Fiorenza, Alberto; Giannetti, Flavia 4 2015 Introduction to the variable Lebesgue spaces. Zbl 1337.46025 Cruz-Uribe, David; Fiorenza, Alberto 4 2014 Convergence in variable Lebesgue spaces. (Convergence in variable Lebesgue spaces.) Zbl 1202.42036 Cruz-Uribe, David; Fiorenza, Alberto 4 2010 Mixed norm type Hardy inequalities. Zbl 1231.26013 Fiorenza, Alberto; Gupta, Babita; Jain, Pankaj 3 2011 A note on the spherical maximal function. Zbl 1145.42303 Fiorenza, Alberto 3 1987 Compactness of integral operators in Lebesgue spaces with mixed norm. Zbl 1148.47035 Fiorenza, Alberto; Gupta, Babita; Jain, Pankaj 3 2008 \(H=W\) Musielak spaces framework. Zbl 1460.46019 Ahmida, Youssef; Fiorenza, Alberto; Youssfi, Ahmed 3 2020 An estimate of the blow-up of Lebesgue norms in the non-tempered case. Zbl 1465.46031 Di Fratta, Giovanni; Fiorenza, Alberto; Slastikov, Valeriy 3 2021 A short proof of local regularity of distributional solutions of Poisson’s equation. Zbl 1435.35117 Di Fratta, Giovanni; Fiorenza, Alberto 3 2020 Interpolation of generalized gamma spaces in a critical case. Zbl 1500.46024 Ahmed, Irshaad; Fiorenza, Alberto; Formica, Maria Rosaria 3 2022 Banach function norms via Cauchy polynomials and applications. Zbl 1345.46003 Anatriello, Giuseppina; Fiorenza, Alberto; Giovanni, Vincenzi 3 2015 On the factor opposing the Lebesgue norm in generalized grand Lebesgue spaces. Zbl 1479.46034 Fiorenza, Alberto; Formica, Maria Rosaria 3 2021 Modulars from Nakano onwards. Zbl 1488.46016 Fiorenza, Alberto 3 2021 BMO regularity for one-dimensional minimizers of some Lagrange problems. Zbl 0906.49018 Fiorenza, Alberto 2 1997 A summability condition on the gradient ensuring BMO. Zbl 0926.46028 Fiorenza, Alberto 2 1998 Regularity results for minimizers of certain one-dimensional Lagrange problems of calculus of variations. Zbl 0909.49025 Fiorenza, Alberto 2 1996 Orlicz capacities and applications to PDEs and Sobolev mappings. Zbl 1160.35384 Fiorenza, Alberto 2 2005 A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev spaces. Zbl 1522.26013 Di Fratta, Giovanni; Fiorenza, Alberto 2 2022 BMO-type seminorms from Escher-type tessellations. Zbl 1455.46034 Di Fratta, Giovanni; Fiorenza, Alberto 2 2020 Estimates for imaginary powers of Laplace operator in variable Lebesgue spaces and applications. Zbl 1319.42012 Fiorenza, A.; Gogatishvili, A.; Kopaliani, T. 2 2014 Some remarks on Stein’s \(L \log L\) result. Zbl 0759.42015 Fiorenza, Alberto 2 1992 Variable Lebesgue spaces and hyperbolic systems. Based on the presentations at two courses given under the title ‘Advanced courses on approximation theory and Fourier analysis’, Barcelona, Spain, November 7–11, 2011. Zbl 1297.46003 2 2014 Interpolation of nonlinear positive or order preserving operators on Banach lattices. Zbl 1476.46030 Chill, Ralph; Fiorenza, Alberto; Król, Sebastian 2 2020 On certain inequalities in weighted Orlicz spaces. Zbl 0793.42014 Fiorenza, A. 1 1993 On some fundamental properties of the maximal operator. Zbl 1096.42519 Fiorenza, Alberto; Krbec, Miroslav 1 2000 A topology on inequalities. Zbl 1124.46020 D’Aristotile, Anna Maria; Fiorenza, Alberto 1 2006 Remarks on compactness results for variable exponent spaces \(L^{p(\cdot)}\). Zbl 1486.46037 Fiorenza, A.; Gogatishvili, A.; Nekvinda, A.; Rakotoson, J. M. 1 2022 Categories of results in variable Lebesgue spaces theory. Zbl 1475.46029 Fiorenza, Alberto 1 2019 Generalizing algebraically defined norms. Zbl 1504.46032 Fiorenza, Alberto; Talponen, Jarno 1 2022 A note on noneffective weights in variable Lebesgue spaces. Zbl 1239.46023 Fiorenza, Alberto; Krbec, Miroslav 1 2012 Convergence in measure of approximate identities in variable Lebesgue spaces. Zbl 1317.42020 Cruz-Uribe, David; Fiorenza, Alberto 1 2015 Interpolation of generalized gamma spaces in a critical case. Zbl 1500.46024 Ahmed, Irshaad; Fiorenza, Alberto; Formica, Maria Rosaria 3 2022 A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev spaces. Zbl 1522.26013 Di Fratta, Giovanni; Fiorenza, Alberto 2 2022 Remarks on compactness results for variable exponent spaces \(L^{p(\cdot)}\). Zbl 1486.46037 Fiorenza, A.; Gogatishvili, A.; Nekvinda, A.; Rakotoson, J. M. 1 2022 Generalizing algebraically defined norms. Zbl 1504.46032 Fiorenza, Alberto; Talponen, Jarno 1 2022 Detailed proof of classical Gagliardo-Nirenberg interpolation inequality with historical remarks. Zbl 1479.46038 Fiorenza, Alberto; Formica, Maria Rosaria; Roskovec, Tomáš G.; Soudský, Filip 12 2021 Boundedness of the Dunkl-Hausdorff operator in Lebesgue spaces. Zbl 07524120 Jain, Sandhya; Fiorenza, Alberto; Jain, Pankaj 4 2021 An estimate of the blow-up of Lebesgue norms in the non-tempered case. Zbl 1465.46031 Di Fratta, Giovanni; Fiorenza, Alberto; Slastikov, Valeriy 3 2021 On the factor opposing the Lebesgue norm in generalized grand Lebesgue spaces. Zbl 1479.46034 Fiorenza, Alberto; Formica, Maria Rosaria 3 2021 Modulars from Nakano onwards. Zbl 1488.46016 Fiorenza, Alberto 3 2021 Some new results related to Lorentz \(G\Gamma\)-spaces and interpolation. Zbl 1442.46014 Ahmed, Irshaad; Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran; Rakotoson, Jean Michel 12 2020 Some interpolation formulae for grand and small Lorentz spaces. Zbl 1453.46019 Ahmed, Irshaad; Fiorenza, Alberto; Hafeez, Aneesa 11 2020 \(H=W\) Musielak spaces framework. Zbl 1460.46019 Ahmida, Youssef; Fiorenza, Alberto; Youssfi, Ahmed 3 2020 A short proof of local regularity of distributional solutions of Poisson’s equation. Zbl 1435.35117 Di Fratta, Giovanni; Fiorenza, Alberto 3 2020 BMO-type seminorms from Escher-type tessellations. Zbl 1455.46034 Di Fratta, Giovanni; Fiorenza, Alberto 2 2020 Interpolation of nonlinear positive or order preserving operators on Banach lattices. Zbl 1476.46030 Chill, Ralph; Fiorenza, Alberto; Król, Sebastian 2 2020 A sharp blow-up estimate for the Lebesgue norm. Zbl 1441.46023 Farroni, Fernando; Fiorenza, Alberto; Giova, Raffaella 8 2019 Gagliardo-Nirenberg inequality for rearrangement-invariant Banach function spaces. Zbl 1442.46025 Fiorenza, Alberto; Formica, Maria Rosaria; Roskovec, Tomáš; Soudský, Filip 6 2019 Categories of results in variable Lebesgue spaces theory. Zbl 1475.46029 Fiorenza, Alberto 1 2019 On grand and small Lebesgue and Sobolev spaces and some applications to PDE’s. Zbl 1398.46025 Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran 30 2018 Characterization of interpolation between grand, small or classical Lebesgue spaces. Zbl 1409.46025 Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran; Kopaliani, Tengiz; Rakotoson, Jean Michel 25 2018 A modular variable Orlicz inequality for the local maximal operator. Zbl 1392.42019 Capone, Claudia; Cruz-Uribe, David; Fiorenza, Alberto 7 2018 Nonlinear harmonic analysis of integral operators in weighted grand Lebesgue spaces and applications. Zbl 1400.42010 Fiorenza, Alberto; Kokilashvili, Vakhtang 7 2018 Modular inequalities for the maximal operator in variable Lebesgue spaces. Zbl 1412.42047 Cruz-Uribe, David; Di Fratta, Giovanni; Fiorenza, Alberto 4 2018 The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions. Zbl 06732251 Carlone, Raffaele; Fiorenza, Alberto; Tentarelli, Lorenzo 15 2017 Pointwise estimates for \(G\Gamma\)-functions and applications. Zbl 1413.35161 Fiorenza, Alberto; Formica, Maria Rosaria; Rakotoson, Jean Michel 12 2017 Hardy-Littlewood maximal operator in weighted grand variable exponent Lebesgue space. Zbl 1375.26014 Fiorenza, Alberto; Kokilashvili, Vakhtang; Meskhi, Alexander 9 2017 Strongly nonlinear Gagliardo-Nirenberg inequality in Orlicz spaces and Boyd indices. Zbl 1372.46024 Capone, Claudia; Fiorenza, Alberto; Kałamajska, Agnieszka 7 2017 Identification of fully measurable grand Lebesgue spaces. Zbl 1386.46029 Anatriello, Giuseppina; Chill, Ralph; Fiorenza, Alberto 6 2017 Embeddings between grand, small, and variable Lebesgue spaces. Zbl 1390.46031 Cruz-Uribe, D.; Fiorenza, A.; Guzmán, O. M. 5 2017 Fully measurable grand Lebesgue spaces. Zbl 1333.46025 Anatriello, G.; Fiorenza, A. 21 2015 Variable exponents and grand Lebesgue spaces: some optimal results. Zbl 1351.46024 Fiorenza, Alberto; Rakotoson, Jean Michel; Sbordone, Carlo 4 2015 On Orlicz capacities and a nonexistence result for certain elliptic PDEs. Zbl 1326.31004 Fiorenza, Alberto; Giannetti, Flavia 4 2015 Banach function norms via Cauchy polynomials and applications. Zbl 1345.46003 Anatriello, Giuseppina; Fiorenza, Alberto; Giovanni, Vincenzi 3 2015 Convergence in measure of approximate identities in variable Lebesgue spaces. Zbl 1317.42020 Cruz-Uribe, David; Fiorenza, Alberto 1 2015 Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces. Zbl 1312.42017 Chill, Ralph; Fiorenza, Alberto 16 2014 An improvement of dimension-free Sobolev imbeddings in r.i. spaces. Zbl 1312.46043 Fiorenza, Alberto; Krbec, Miroslav; Schmeisser, Hans-Jürgen 10 2014 Introduction to the variable Lebesgue spaces. Zbl 1337.46025 Cruz-Uribe, David; Fiorenza, Alberto 4 2014 Estimates for imaginary powers of Laplace operator in variable Lebesgue spaces and applications. Zbl 1319.42012 Fiorenza, A.; Gogatishvili, A.; Kopaliani, T. 2 2014 Variable Lebesgue spaces and hyperbolic systems. Based on the presentations at two courses given under the title ‘Advanced courses on approximation theory and Fourier analysis’, Barcelona, Spain, November 7–11, 2011. Zbl 1297.46003 2 2014 Variable Lebesgue spaces. Foundations and harmonic analysis. Zbl 1268.46002 Cruz-Uribe, David V.; Fiorenza, Alberto 702 2013 Boundedness of Stein’s spherical maximal function in variable Lebesgue spaces and application to the wave equation. Zbl 1267.42019 Fiorenza, Alberto; Gogatishvili, Amiran; Kopaliani, Tengiz 7 2013 From Fibonacci sequence to the Golden ratio. Zbl 1268.11022 Fiorenza, Alberto; Vincenzi, Giovanni 6 2013 Weighted norm inequalities for the maximal operator on variable Lebesgue spaces. Zbl 1298.42021 Cruz-Uribe, D.; Fiorenza, A.; Neugebauer, C. J. 59 2012 A note on noneffective weights in variable Lebesgue spaces. Zbl 1239.46023 Fiorenza, Alberto; Krbec, Miroslav 1 2012 Limit of ratio of consecutive terms for general order-\(k\) linear homogeneous recurrences with constant coefficients. Zbl 1258.11015 Fiorenza, Alberto; Vincenzi, Giovanni 14 2011 The Riesz potential operator in optimal couples of rearrangement invariant spaces. Zbl 1225.46020 Capone, C.; Fiorenza, A.; Karadzhov, G. E.; Nazeer, Waqas 6 2011 Mixed norm type Hardy inequalities. Zbl 1231.26013 Fiorenza, Alberto; Gupta, Babita; Jain, Pankaj 3 2011 Convergence in variable Lebesgue spaces. (Convergence in variable Lebesgue spaces.) Zbl 1202.42036 Cruz-Uribe, David; Fiorenza, Alberto 4 2010 A direct approach to the duality of grand and small Lebesgue spaces. Zbl 1184.46032 Di Fratta, Giovanni; Fiorenza, Alberto 49 2009 A new proof of the boundedness of maximal operators on variable Lebesgue spaces. Zbl 1207.42011 Cruz-Uribe, D.; Diening, L.; Fiorenza, A. 32 2009 \(L\log L\) results for the maximal operator in variable \(L^p\) spaces. Zbl 1163.42006 Cruz-Uribe, D.; Fiorenza, A. 22 2009 Relative rearrangement method for estimating dual norms. Zbl 1178.46026 Fiorenza, A.; Rakotoson, J. M.; Zitouni, L. 11 2009 The maximal theorem for weighted grand Lebesgue spaces. Zbl 1161.42011 Fiorenza, Alberto; Gupta, Babita; Jain, Pankaj 108 2008 Some estimates in \(G\Gamma (p,m,w)\) spaces. Zbl 1144.46027 Fiorenza, A.; Rakotoson, J. M. 20 2008 Grand Orlicz spaces and global integrability of the Jacobian. Zbl 1162.46019 Capone, C.; Fiorenza, A.; Karadzhov, G. E. 9 2008 Compactness of integral operators in Lebesgue spaces with mixed norm. Zbl 1148.47035 Fiorenza, Alberto; Gupta, Babita; Jain, Pankaj 3 2008 The fractional maximal operator and fractional integrals on variable \(L^p\) spaces. Zbl 1213.42063 Capone, Claudia; Cruz-Uribe, David; Fiorenza, Alberto 111 2007 Approximate identities in variable \(L^{p }\) spaces. Zbl 1178.42022 Cruz-Uribe, D.; Fiorenza, A. 17 2007 Weighted endpoint estimates for commutators of fractional integrals. Zbl 1174.42013 Cruz-Uribe, D.; Fiorenza, A. 10 2007 Relative rearrangement and Lebesgue spaces \(L^p(\cdot)\) with variable exponent. Zbl 1137.46016 Fiorenza, A.; Rakotoson, J. M. 8 2007 The boundedness of classical operators on variable \(L^p\) spaces. Zbl 1100.42012 Cruz-Uribe, D.; Fiorenza, A.; Martell, J. M.; Pérez, C. 268 2006 Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications. Zbl 1098.46025 Fiorenza, A.; Rakotoson, J. M. 16 2006 Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations. Zbl 1115.35021 Chill, Ralph; Fiorenza, Alberto 14 2006 On a measure of non-compactness for some classical operators. Zbl 1282.42012 Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander 6 2006 On extrapolation blowups in the \(l_{p}\) scale. Zbl 1142.42003 Capone, Claudia; Fiorenza, Alberto; Krbec, Miroslav 6 2006 A topology on inequalities. Zbl 1124.46020 D’Aristotile, Anna Maria; Fiorenza, Alberto 1 2006 On small Lebesgue spaces. Zbl 1078.46017 Capone, Claudia; Fiorenza, Alberto 69 2005 Orlicz capacities and applications to PDEs and Sobolev mappings. Zbl 1160.35384 Fiorenza, Alberto 2 2005 Grand and small Lebesgue spaces and their analogs. Zbl 1071.46023 Fiorenza, A.; Karadzhov, G. E. 102 2004 Corrections to “The maximal function on variable \(L^p\) spaces”. Zbl 1064.42500 Cruz-Uribe, D.; Fiorenza, A.; Neugebauer, C. J. 52 2004 The maximal function on variable \(L^p\) spaces. Zbl 1037.42023 Cruz-Uribe, D.; Fiorenza, A.; Neugebauer, C. J. 216 2003 Endpoint estimates and weighted norm inequalities for commutators of fractional integrals. Zbl 1035.42015 Cruz-Uribe, D.; Fiorenza, A. 40 2003 New properties of small Lebesgue spaces and their applications. Zbl 1037.46025 Fiorenza, A.; Rakotoson, J. M. 25 2003 Orlicz capacities and applications to some existence questions for elliptic PDEs having measure data. Zbl 1075.35012 Fiorenza, Alberto; Prignet, Alain 7 2003 Regularity and uniqueness results in grand Sobolev spaces for parabolic equations with measure data. Zbl 1007.35034 Fiorenza, Alberto; Mercaldo, Anna; Rakotoson, Jean Michel 17 2002 Small Lebesgue spaces and their applications. (Petits espaces de Lebesgue et quelques applications.) Zbl 0999.46017 Fiorenza, Alberto; Rakotoson, Jean-Michel 11 2002 On an optimal decomposition in Zygmund spaces. Zbl 1015.46018 Fiorenza, Alberto; Krbec, Miroslav 10 2002 The \(A_\infty\) property for Young functions and weighted norm inequalities. Zbl 1041.42009 Cruz-Uribe, D.; Fiorenza, A. 8 2002 A mean continuity type result for certain Sobolev spaces with variable exponent. Zbl 1015.46019 Fiorenza, Alberto 7 2002 Regularity and comparison results in grand Sobolev spaces for parabolic equations with measure data. Zbl 0983.35067 Fiorenza, A.; Mercaldo, A.; Rakotoson, J. M. 8 2001 Duality and reflexivity in grand Lebesgue spaces. Zbl 0960.46022 Fiorenza, Alberto 116 2000 On the domain and range of the maximal operator. Zbl 1039.42015 Fiorenza, Alberto; Krbec, Miroslav 13 2000 On some fundamental properties of the maximal operator. Zbl 1096.42519 Fiorenza, Alberto; Krbec, Miroslav 1 2000 Existence and uniqueness results for solutions of nonlinear equations with right hand side in \(L^1\). Zbl 0891.35039 Fiorenza, A.; Sbordone, C. 71 1998 A formula for the Boyd indices in Orlicz spaces. Zbl 0931.46025 Fiorenza, Alberto; Krbec, Miroslav 6 1998 A summability condition on the gradient ensuring BMO. Zbl 0926.46028 Fiorenza, Alberto 2 1998 Indices of Orlicz spaces and some applications. Zbl 0937.46023 Fiorenza, Alberto; Krbec, Miroslav 34 1997 BMO regularity for one-dimensional minimizers of some Lagrange problems. Zbl 0906.49018 Fiorenza, Alberto 2 1997 Regularity results for minimizers of certain one-dimensional Lagrange problems of calculus of variations. Zbl 0909.49025 Fiorenza, Alberto 2 1996 Maximal inequalities in weighted Orlicz spaces. Zbl 1162.42307 Capone, Claudia; Fiorenza, Alberto 4 1995 On certain inequalities in weighted Orlicz spaces. Zbl 0793.42014 Fiorenza, A. 1 1993 Some remarks on Stein’s \(L \log L\) result. Zbl 0759.42015 Fiorenza, Alberto 2 1992 An inequality for Jensen means. Zbl 0737.46009 Fiorenza, Alberto 5 1991 A note on the spherical maximal function. Zbl 1145.42303 Fiorenza, Alberto 3 1987 all cited Publications top 5 cited Publications all top 5 Cited by 1,035 Authors 66 Shimomura, Tetsu 55 Fiorenza, Alberto 47 Meskhi, Alexander 46 Kokilashvili, Vakhtang 45 Yang, Dachun 44 Mizuta, Yoshihiro 43 Ohno, Takao 41 Rafeiro, Humberto 41 Samko, Stefan Grigor’evich 32 Ho, Kwok-Pun 29 Cruz-Uribe, David Vincente 29 Sawano, Yoshihiro 29 Xu, Jingshi 26 Yuan, Wen 23 Guliyev, Vagif Sabir 22 Karlovych, Oleksiy 19 Izuki, Mitsuo 18 Formica, Maria Rosaria 18 Hästö, Peter A. 17 Bandaliev, Rovshan Alifaga ogly 17 Weisz, Ferenc 17 Zhuo, Ciqiang 16 Kopaliani, Tengiz 15 Gogatishvili, Amiran 14 Jain, Pankaj 14 Karapetyants, Alekseĭ Nikolaevich 14 Rakotoson, Jean-Michel 14 Wang, Hongbin 14 Wang, Liwei 14 Zeren, Yusuf 13 Pradolini, Gladis G. 13 Tan, Jian 13 Umarkhadzhiev, Salaudin Musaevich 12 Bilalov, Bilal T. 12 Górka, Przemysław 12 Jiao, Yong 12 Noi, Takahiro 12 Papageorgiou, Nikolaos S. 12 Sbordone, Carlo 12 Singh, Monika 11 Almeida, Alexandre 11 Byun, Sun-Sig 11 Drihem, Douadi 11 Edmunds, David Eric 11 Hao, Zhiwei 11 Harjulehto, Petteri 11 Sadigova, Sabina Rahib 11 Testici, Ahmet 10 Anatriello, Giuseppina 10 Capone, Claudia 10 Diening, Lars 10 Israfilov, Daniyal M. 10 Maeda, Fumiyuki 10 Surnachëv, Mikhaĭl Dmitrievich 10 Zhao, Jiman 9 Chlebicka, Iwona 9 Di Fratta, Giovanni 9 Singh, Arun Pal 9 Tao, Shuangping 9 Wang, Shengrong 8 Farroni, Fernando 8 Fernández-Martínez, Pedro 8 Li, Libo 8 Liu, Zongguang 8 Mamedov, Farman Imran 8 Martell, José María (Chema) 8 Nakai, Eiichi 8 Tentarelli, Lorenzo 8 Wu, Jianglong 8 Yang, Sibei 8 Zaighum, Muhammad Asad 8 Zhang, Yangyang 7 Carlone, Raffaele 7 Li, Baode 7 Nekvinda, Aleš 7 Ok, Jihoon 7 Schiattarella, Roberta 7 Signes, Teresa M. 7 Sin, Cholmin 7 Soudský, Filip 7 Vincenzi, Giovanni 7 Zhang, Pu 6 Ahmed, Irshaad 6 Fernandes, Claudio A. 6 Giannetti, Flavia 6 Giova, Raffaella 6 Guzmán, Oscar Mauricio 6 Hasanov, Javanshir J. 6 Kempka, Henning 6 Lee, Mikyoung 6 Rădulescu, Vicenţiu D. 6 Ruiz, César 6 Shargorodsky, Eugene 6 Urciuolo, Marta Susana 6 Vallejos, Lucas Alejandro 6 Zhou, Dejian 6 Zviadadze, Shalva 5 Alkhutov, Yuriy Alexandrovich 5 Avci, Mustafa 5 Aydin, Ismail ...and 935 more Authors all top 5 Cited in 255 Serials 87 Journal of Mathematical Analysis and Applications 58 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 37 Journal of Function Spaces 36 Mathematische Nachrichten 33 Journal of Functional Analysis 29 Mediterranean Journal of Mathematics 27 Transactions of A. Razmadze Mathematical Institute 25 Journal of Inequalities and Applications 22 Czechoslovak Mathematical Journal 21 Complex Variables and Elliptic Equations 20 Journal of Differential Equations 20 Results in Mathematics 20 Mathematical Inequalities & Applications 19 Mathematical Notes 19 Banach Journal of Mathematical Analysis 18 Journal of Mathematical Sciences (New York) 18 Positivity 17 Calculus of Variations and Partial Differential Equations 16 The Journal of Geometric Analysis 16 Georgian Mathematical Journal 14 Turkish Journal of Mathematics 14 Revista Matemática Complutense 13 Acta Mathematica Sinica. 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Matematica e Applicazioni 10 Journal of Pseudo-Differential Operators and Applications 9 Analysis Mathematica 9 Collectanea Mathematica 9 Forum Mathematicum 9 Kyoto Journal of Mathematics 8 Ukrainian Mathematical Journal 8 Journal of Approximation Theory 8 Integral Transforms and Special Functions 8 Journal of Function Spaces and Applications 8 Complex Analysis and Operator Theory 8 Frontiers of Mathematics in China 8 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Integral Equations and Operator Theory 7 Bulletin of the Korean Mathematical Society 7 Acta Mathematica Hungarica 7 Communications in Contemporary Mathematics 7 Nonlinear Analysis. Real World Applications 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Open Mathematics 7 Advances in Operator Theory 6 Applicable Analysis 6 Mathematische Zeitschrift 6 Abstract and Applied Analysis 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Analysis in Theory and Applications 6 Azerbaijan Journal of Mathematics 6 Analysis and Mathematical Physics 5 Periodica Mathematica Hungarica 5 Manuscripta Mathematica 5 Proceedings of the American Mathematical Society 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Tôhoku Mathematical Journal. Second Series 5 Chinese Annals of Mathematics. Series B 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 St. Petersburg Mathematical Journal 5 Bulletin des Sciences Mathématiques 5 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 5 Proceedings of the Steklov Institute of Mathematics 5 Advances in Nonlinear Analysis 4 Advances in Mathematics 4 Archiv der Mathematik 4 Journal of Computational and Applied Mathematics 4 Journal of the Mathematical Society of Japan 4 Revista de la Unión Matemática Argentina 4 SIAM Journal on Mathematical Analysis 4 Indagationes Mathematicae. New Series 4 NoDEA. Nonlinear Differential Equations and Applications 4 Journal of Evolution Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Hacettepe Journal of Mathematics and Statistics 4 Boundary Value Problems 4 Journal of Fixed Point Theory and Applications 4 Discrete and Continuous Dynamical Systems. Series S 4 Science China. Mathematics 4 Arabian Journal of Mathematics 4 Sahand Communications in Mathematical Analysis 4 AIMS Mathematics 3 Bulletin of the Australian Mathematical Society 3 Journal d’Analyse Mathématique 3 Lithuanian Mathematical Journal 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of the Korean Mathematical Society ...and 155 more Serials all top 5 Cited in 46 Fields 803 Functional analysis (46-XX) 666 Harmonic analysis on Euclidean spaces (42-XX) 328 Partial differential equations (35-XX) 212 Operator theory (47-XX) 163 Real functions (26-XX) 66 Functions of a complex variable (30-XX) 51 Approximations and expansions (41-XX) 45 Potential theory (31-XX) 40 Probability theory and stochastic processes (60-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 26 Fluid mechanics (76-XX) 23 Integral equations (45-XX) 22 Abstract harmonic analysis (43-XX) 15 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 11 Number theory (11-XX) 11 Measure and integration (28-XX) 11 Integral transforms, operational calculus (44-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 8 General topology (54-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Information and communication theory, circuits (94-XX) 6 Special functions (33-XX) 5 Combinatorics (05-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Sequences, series, summability (40-XX) 5 Mechanics of deformable solids (74-XX) 4 Difference and functional equations (39-XX) 3 Topological groups, Lie groups (22-XX) 3 Geometry (51-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year