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Author ID: fiorenza.alberto Recent zbMATH articles by "Fiorenza, Alberto"
Published as: Fiorenza, Alberto; Fiorenza, A.
Homepage: http://wpage.unina.it/fiorenza/
External Links: dblp · IdRef
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

Publications by Year

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 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. English Series
12 Zeitschrift für Analysis und ihre Anwendungen
12 Potential Analysis
12 The Journal of Fourier Analysis and Applications
12 Annales Academiae Scientiarum Fennicae. Mathematica
12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
12 Annals of Functional Analysis
11 Transactions of the American Mathematical Society
11 Fractional Calculus & Applied Analysis
11 Journal of Mathematical Inequalities
11 Journal of Elliptic and Parabolic Equations
10 Mathematical Methods in the Applied Sciences
10 Studia Mathematica
10 Ricerche di Matematica
10 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. 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