Cruz-Uribe, David; Di Fratta, Giovanni; Fiorenza, Alberto Modular inequalities for the maximal operator in variable Lebesgue spaces. (English) Zbl 1412.42047 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part A, 299-311 (2018). Reviewer: Julià Cufí (Bellaterra) MSC: 42B25 46E30 26D15 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part A, 299--311 (2018; Zbl 1412.42047) Full Text: DOI arXiv
Fiorenza, Alberto; Kokilashvili, Vakhtang Nonlinear harmonic analysis of integral operators in weighted grand Lebesgue spaces and applications. (English) Zbl 1400.42010 Ann. Funct. Anal. 9, No. 3, 413-425 (2018). MSC: 42B20 42B25 46E30 PDFBibTeX XMLCite \textit{A. Fiorenza} and \textit{V. Kokilashvili}, Ann. Funct. Anal. 9, No. 3, 413--425 (2018; Zbl 1400.42010) Full Text: DOI Euclid
Capone, Claudia; Cruz-Uribe, David; Fiorenza, Alberto A modular variable Orlicz inequality for the local maximal operator. (English) Zbl 1392.42019 Georgian Math. J. 25, No. 2, 201-206 (2018). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{C. Capone} et al., Georgian Math. J. 25, No. 2, 201--206 (2018; Zbl 1392.42019) Full Text: DOI
Fiorenza, Alberto; Kokilashvili, Vakhtang; Meskhi, Alexander Hardy-Littlewood maximal operator in weighted grand variable exponent Lebesgue space. (English) Zbl 1375.26014 Mediterr. J. Math. 14, No. 3, Paper No. 118, 20 p. (2017). MSC: 26A33 42B35 47B38 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., Mediterr. J. Math. 14, No. 3, Paper No. 118, 20 p. (2017; Zbl 1375.26014) Full Text: DOI
Fiorenza, Alberto A local estimate for the maximal function in Lebesgue spaces with EXP-type exponents. (English) Zbl 1327.42021 J. Funct. Spaces 2015, Article ID 581064, 5 p. (2015). Reviewer: Sunggeum Hong (Gwangju) MSC: 42B25 42B35 46E30 PDFBibTeX XMLCite \textit{A. Fiorenza}, J. Funct. Spaces 2015, Article ID 581064, 5 p. (2015; Zbl 1327.42021) Full Text: DOI
Cruz-Uribe, David; Fiorenza, Alberto Convergence in measure of approximate identities in variable Lebesgue spaces. (English) Zbl 1317.42020 Anal. Appl., Singap. 13, No. 4, 413-418 (2015). MSC: 42B35 42B25 46E30 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} and \textit{A. Fiorenza}, Anal. Appl., Singap. 13, No. 4, 413--418 (2015; Zbl 1317.42020) Full Text: DOI
Anatriello, G.; Fiorenza, A. Fully measurable grand Lebesgue spaces. (English) Zbl 1333.46025 J. Math. Anal. Appl. 422, No. 2, 783-797 (2015). MSC: 46E30 42B35 42B25 PDFBibTeX XMLCite \textit{G. Anatriello} and \textit{A. Fiorenza}, J. Math. Anal. Appl. 422, No. 2, 783--797 (2015; Zbl 1333.46025) Full Text: DOI
Cruz-Uribe, David; Fiorenza, Alberto Introduction to the variable Lebesgue spaces. (English) Zbl 1337.46025 Tikhonov, Sergey (ed.), 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. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0839-2/pbk; 978-3-0348-0840-8/ebook). Advanced Courses in Mathematics – CRM Barcelona, 3-9 (2014). Reviewer: Jan-David Hardtke (Berlin) MSC: 46E30 42B25 42B20 47B38 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} and \textit{A. Fiorenza}, in: 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. Basel: Birkhäuser/Springer. 3--9 (2014; Zbl 1337.46025) Full Text: DOI
Fiorenza, A.; Gogatishvili, A.; Kopaliani, T. Estimates for imaginary powers of Laplace operator in variable Lebesgue spaces and applications. (English) Zbl 1319.42012 J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 5, 232-240 (2014) and Izv. Nats. Akad. Nauk Armen., Mat. 49, No. 5, 11-22 (2014). MSC: 42B20 42B25 42B35 42B10 42B37 46E30 35L05 44A10 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 5, 232--240 (2014; Zbl 1319.42012) Full Text: DOI
Chill, Ralph; Fiorenza, Alberto Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces. (English) Zbl 1312.42017 J. Evol. Equ. 14, No. 4-5, 795-828 (2014). MSC: 42B20 46E30 34G10 47D06 PDFBibTeX XMLCite \textit{R. Chill} and \textit{A. Fiorenza}, J. Evol. Equ. 14, No. 4--5, 795--828 (2014; Zbl 1312.42017) Full Text: DOI HAL
Tikhonov, Sergey (ed.) [Cruz-Uribe, David; Fiorenza, Alberto; Ruzhansky, Michael; Wirth, Jens] 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. (English) Zbl 1297.46003 Advanced Courses in Mathematics – CRM Barcelona. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0839-2/pbk; 978-3-0348-0840-8/ebook). ix, 169 p. (2014). MSC: 46-06 46E30 35-06 42-06 35B45 42B20 42B25 35L45 00B25 PDFBibTeX XMLCite \textit{S. Tikhonov} (ed.), 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. Basel: Birkhäuser/Springer (2014; Zbl 1297.46003) Full Text: DOI
Fiorenza, Alberto; Gogatishvili, Amiran; Kopaliani, Tengiz Boundedness of Stein’s spherical maximal function in variable Lebesgue spaces and application to the wave equation. (English) Zbl 1267.42019 Arch. Math. 100, No. 5, 465-472 (2013). MSC: 42B25 46E30 35L05 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., Arch. Math. 100, No. 5, 465--472 (2013; Zbl 1267.42019) Full Text: DOI arXiv
Cruz-Uribe, David V.; Fiorenza, Alberto Variable Lebesgue spaces. Foundations and harmonic analysis. (English) Zbl 1268.46002 Applied and Numerical Harmonic Analysis. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0547-6/hbk; 978-3-0348-0548-3/ebook). ix, 312 p. (2013). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 46-02 46E30 46E35 42B25 42B20 46A80 PDFBibTeX XMLCite \textit{D. V. Cruz-Uribe} and \textit{A. Fiorenza}, Variable Lebesgue spaces. Foundations and harmonic analysis. New York, NY: Birkhäuser/Springer (2013; Zbl 1268.46002) Full Text: DOI
Cruz-Uribe, D.; Fiorenza, A.; Neugebauer, C. J. Weighted norm inequalities for the maximal operator on variable Lebesgue spaces. (English) Zbl 1298.42021 J. Math. Anal. Appl. 394, No. 2, 744-760 (2012). Reviewer: Luboš Pick (Praha) MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} et al., J. Math. Anal. Appl. 394, No. 2, 744--760 (2012; Zbl 1298.42021) Full Text: DOI
Cruz-Uribe, David; Fiorenza, Alberto Convergence in variable Lebesgue spaces. (Convergence in variable Lebesgue spaces.) (English) Zbl 1202.42036 Publ. Mat., Barc. 54, No. 2, 441-459 (2010). Reviewer: Yasuo Komori (Numazu) MSC: 42B25 42B35 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} and \textit{A. Fiorenza}, Publ. Mat., Barc. 54, No. 2, 441--459 (2010; Zbl 1202.42036) Full Text: DOI Euclid
Cruz-Uribe, D.; Diening, L.; Fiorenza, A. A new proof of the boundedness of maximal operators on variable Lebesgue spaces. (English) Zbl 1207.42011 Boll. Unione Mat. Ital. (9) 2, No. 1, 151-173 (2009). Reviewer: Yasuo Komori (Numazu) MSC: 42B20 42B25 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} et al., Boll. Unione Mat. Ital. (9) 2, No. 1, 151--173 (2009; Zbl 1207.42011)
Cruz-Uribe, D.; Fiorenza, A. \(L\log L\) results for the maximal operator in variable \(L^p\) spaces. (English) Zbl 1163.42006 Trans. Am. Math. Soc. 361, No. 5, 2631-2647 (2009). Reviewer: Yasuo Komori (Numazu) MSC: 42B25 42B35 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} and \textit{A. Fiorenza}, Trans. Am. Math. Soc. 361, No. 5, 2631--2647 (2009; Zbl 1163.42006) Full Text: DOI
Fiorenza, Alberto; Gupta, Babita; Jain, Pankaj The maximal theorem for weighted grand Lebesgue spaces. (English) Zbl 1161.42011 Stud. Math. 188, No. 2, 123-133 (2008). Reviewer: Vladimir V. Peller (East Lansing) MSC: 42B25 46E30 26D15 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., Stud. Math. 188, No. 2, 123--133 (2008; Zbl 1161.42011) Full Text: DOI
Cruz-Uribe, D.; Fiorenza, A. Weighted endpoint estimates for commutators of fractional integrals. (English) Zbl 1174.42013 Czech. Math. J. 57, No. 1, 153-160 (2007). MSC: 42B20 42B25 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} and \textit{A. Fiorenza}, Czech. Math. J. 57, No. 1, 153--160 (2007; Zbl 1174.42013) Full Text: DOI EuDML Link
Capone, Claudia; Cruz-Uribe, David; Fiorenza, Alberto The fractional maximal operator and fractional integrals on variable \(L^p\) spaces. (English) Zbl 1213.42063 Rev. Mat. Iberoam. 23, No. 3, 743-770 (2007). MSC: 42B25 42B35 PDFBibTeX XMLCite \textit{C. Capone} et al., Rev. Mat. Iberoam. 23, No. 3, 743--770 (2007; Zbl 1213.42063) Full Text: DOI Euclid EuDML
Cruz-Uribe, D.; Fiorenza, A. Approximate identities in variable \(L^{p }\) spaces. (English) Zbl 1178.42022 Math. Nachr. 280, No. 3, 256-270 (2007). MSC: 42B25 42B35 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} and \textit{A. Fiorenza}, Math. Nachr. 280, No. 3, 256--270 (2007; Zbl 1178.42022) Full Text: DOI
Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander On a measure of non-compactness for some classical operators. (English) Zbl 1282.42012 Acta Math. Sin., Engl. Ser. 22, No. 6, 1847-1862 (2006). MSC: 42B20 42B25 47B06 47B07 46E30 PDFBibTeX XMLCite \textit{D. E. Edmunds} et al., Acta Math. Sin., Engl. Ser. 22, No. 6, 1847--1862 (2006; Zbl 1282.42012) Full Text: DOI
Cruz-Uribe, D.; Fiorenza, A.; Martell, J. M.; Pérez, C. The boundedness of classical operators on variable \(L^p\) spaces. (English) Zbl 1100.42012 Ann. Acad. Sci. Fenn., Math. 31, No. 1, 239-264 (2006). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42B25 42B15 42B20 35J05 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} et al., Ann. Acad. Sci. Fenn., Math. 31, No. 1, 239--264 (2006; Zbl 1100.42012) Full Text: EuDML
Fiorenza, Alberto The maximal operator and the Sobolev theorem on variable exponent spaces. (English) Zbl 1139.42004 Ric. Mat. 54, No. 2, 571-578 (2005). Reviewer: Giuseppe Di Fazio (Catania) MSC: 42B25 42B35 PDFBibTeX XMLCite \textit{A. Fiorenza}, Ric. Mat. 54, No. 2, 571--578 (2005; Zbl 1139.42004)
Cruz-Uribe, D.; Fiorenza, A.; Neugebauer, C. J. Corrections to “The maximal function on variable \(L^p\) spaces”. (English) Zbl 1064.42500 Ann. Acad. Sci. Fenn., Math. 29, No. 1, 247-249 (2004). MSC: 42B25 42B35 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} et al., Ann. Acad. Sci. Fenn., Math. 29, No. 1, 247--249 (2004; Zbl 1064.42500) Full Text: EuDML EMIS
Cruz-Uribe, D.; Fiorenza, A. Endpoint estimates and weighted norm inequalities for commutators of fractional integrals. (English) Zbl 1035.42015 Publ. Mat., Barc. 47, No. 1, 103-131 (2003). MSC: 42B25 42B20 46E30 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} and \textit{A. Fiorenza}, Publ. Mat., Barc. 47, No. 1, 103--131 (2003; Zbl 1035.42015) Full Text: DOI EuDML
Cruz-Uribe, D.; Fiorenza, A.; Neugebauer, C. J. The maximal function on variable \(L^p\) spaces. (English) Zbl 1037.42023 Ann. Acad. Sci. Fenn., Math. 28, No. 1, 223-238 (2003). Reviewer: Douglas S. Kurtz (Las Cruces) MSC: 42B25 42B35 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} et al., Ann. Acad. Sci. Fenn., Math. 28, No. 1, 223--238 (2003; Zbl 1037.42023) Full Text: EuDML EMIS
Cruz-Uribe, D.; Fiorenza, A. The \(A_\infty\) property for Young functions and weighted norm inequalities. (English) Zbl 1041.42009 Houston J. Math. 28, No. 1, 169-182 (2002). MSC: 42B20 42B25 46E30 47G10 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} and \textit{A. Fiorenza}, Houston J. Math. 28, No. 1, 169--182 (2002; Zbl 1041.42009)
Fiorenza, Alberto; Krbec, Miroslav On some fundamental properties of the maximal operator. (English) Zbl 1096.42519 Edmunds, David E. (ed.) et al., Function spaces and applications. Mainly the proceedings of the international conference on function spaces and applications to partial differential equations, New Delhi, India, December 15–19, 1997. New Delhi: Narosa Publishing House (ISBN 81-7319-335-5/hbk). 69-81 (2000). MSC: 42B25 46E30 47G10 PDFBibTeX XMLCite \textit{A. Fiorenza} and \textit{M. Krbec}, in: Function spaces and applications. Mainly the proceedings of the international conference on function spaces and applications to partial differential equations, New Delhi, India, December 15--19, 1997. New Delhi: Narosa Publishing House. 69--81 (2000; Zbl 1096.42519)
Fiorenza, Alberto; Krbec, Miroslav On the domain and range of the maximal operator. (English) Zbl 1039.42015 Nagoya Math. J. 158, 43-61 (2000). Reviewer: Lourdes Rodríguez-Mesa (La Laguna) MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{A. Fiorenza} and \textit{M. Krbec}, Nagoya Math. J. 158, 43--61 (2000; Zbl 1039.42015) Full Text: DOI
Fiorenza, Alberto On very weak entire solutions on nonlinear partial differential equations. (English. French, Italian summaries) Zbl 0954.35060 Ann. Mat. Pura Appl., IV. Ser. 175, 211-221 (1998). MSC: 35J60 46E30 35B05 42B25 PDFBibTeX XMLCite \textit{A. Fiorenza}, Ann. Mat. Pura Appl. (4) 175, 211--221 (1998; Zbl 0954.35060) Full Text: DOI
Fiorenza, Alberto A Liouville-type theorem for very weak solutions of nonlinear partial differential equations. (English) Zbl 0892.35067 Collect. Math. 48, No. 4-6, 513-522 (1997). Reviewer: A.Fiorenza (Napoli) MSC: 35J70 42B25 PDFBibTeX XML Full Text: EuDML
Capone, Claudia; Fiorenza, Alberto Maximal inequalities in weighted Orlicz spaces. (English) Zbl 1162.42307 Rend. Accad. Sci. Fis. Mat., Napoli (4) 62, 213-224 (1995). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{C. Capone} and \textit{A. Fiorenza}, Rend. Accad. Sci. Fis. Mat., Napoli (4) 62, 213--224 (1995; Zbl 1162.42307)
Fiorenza, A. On certain inequalities in weighted Orlicz spaces. (English) Zbl 0793.42014 Rend. Mat. Appl., VII. Ser. 13, No. 2, 421-430 (1993). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{A. Fiorenza}, Rend. Mat. Appl., VII. Ser. 13, No. 2, 421--430 (1993; Zbl 0793.42014)
Fiorenza, Alberto Some remarks on Stein’s \(L \log L\) result. (English) Zbl 0759.42015 Differ. Integral Equ. 5, No. 6, 1355-1362 (1992). Reviewer: D.C.Struppa (Fairfax) MSC: 42B25 PDFBibTeX XMLCite \textit{A. Fiorenza}, Differ. Integral Equ. 5, No. 6, 1355--1362 (1992; Zbl 0759.42015)
Fiorenza, Alberto A note on the spherical maximal function. (English) Zbl 1145.42303 Rend. Accad. Sci. Fis. Mat., Napoli (4) 54, 77-83 (1987). MSC: 42B25 PDFBibTeX XMLCite \textit{A. Fiorenza}, Rend. Accad. Sci. Fis. Mat., Napoli (4) 54, 77--83 (1987; Zbl 1145.42303)