Gogatishvili, Amiran; Pick, Luboš; Ünver, Tuğçe Weighted inequalities involving Hardy and Copson operators. (English) Zbl 07605375 J. Funct. Anal. 283, No. 12, Article ID 109719, 50 p. (2022). MSC: 26D10 46E30 PDF BibTeX XML Cite \textit{A. Gogatishvili} et al., J. Funct. Anal. 283, No. 12, Article ID 109719, 50 p. (2022; Zbl 07605375) Full Text: DOI arXiv OpenURL
Agora, Elona; Antezana, Jorge; Baena-Miret, Sergi; Carro, María J. Revisiting Yano extrapolation theory. (English) Zbl 1495.46019 J. Fourier Anal. Appl. 28, No. 2, Paper No. 23, 15 p. (2022). MSC: 46E30 28A10 47A30 PDF BibTeX XML Cite \textit{E. Agora} et al., J. Fourier Anal. Appl. 28, No. 2, Paper No. 23, 15 p. (2022; Zbl 1495.46019) Full Text: DOI OpenURL
Agora, Elona; Antezana, Jorge; Baena-Miret, Sergi; Carro, María J. From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement. (English) Zbl 1482.42042 J. Geom. Anal. 32, No. 2, Paper No. 56, 26 p. (2022). MSC: 42B25 42B15 46E30 47A30 PDF BibTeX XML Cite \textit{E. Agora} et al., J. Geom. Anal. 32, No. 2, Paper No. 56, 26 p. (2022; Zbl 1482.42042) Full Text: DOI OpenURL
Baena-Miret, Sergi; Carro, María J. Boundedness of sparse and rough operators on weighted Lorentz spaces. (English) Zbl 1467.42026 J. Fourier Anal. Appl. 27, No. 3, Paper No. 43, 22 p. (2021). MSC: 42B25 42B20 46E30 PDF BibTeX XML Cite \textit{S. Baena-Miret} and \textit{M. J. Carro}, J. Fourier Anal. Appl. 27, No. 3, Paper No. 43, 22 p. (2021; Zbl 1467.42026) Full Text: DOI OpenURL
Boza, Santiago; Soria, Javier Weak-type and end-point norm estimates for Hardy operators. (English) Zbl 1451.26022 Ann. Mat. Pura Appl. (4) 199, No. 6, 2381-2393 (2020). MSC: 26D10 46E30 PDF BibTeX XML Cite \textit{S. Boza} and \textit{J. Soria}, Ann. Mat. Pura Appl. (4) 199, No. 6, 2381--2393 (2020; Zbl 1451.26022) Full Text: DOI Link OpenURL
Křepela, Martin; Pick, Luboš Weighted inequalities for iterated Copson integral operators. (English) Zbl 07220475 Stud. Math. 253, No. 2, 163-197 (2020). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 47G10 26D10 PDF BibTeX XML Cite \textit{M. Křepela} and \textit{L. Pick}, Stud. Math. 253, No. 2, 163--197 (2020; Zbl 07220475) Full Text: DOI arXiv OpenURL
Sun, Qinxiu; Li, Hongliang Weighted Hardy-type operators on nonincreasing cones. (English) Zbl 1442.42041 Math. Notes 107, No. 6, 1002-1013 (2020). MSC: 42B20 46E30 47G10 26D10 PDF BibTeX XML Cite \textit{Q. Sun} and \textit{H. Li}, Math. Notes 107, No. 6, 1002--1013 (2020; Zbl 1442.42041) Full Text: DOI OpenURL
Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš Boundedness of classical operators on rearrangement-invariant spaces. (English) Zbl 1430.42020 J. Funct. Anal. 278, No. 4, Article ID 108341, 56 p. (2020). MSC: 42B25 42B35 46E30 26D20 47B38 46B70 PDF BibTeX XML Cite \textit{D. E. Edmunds} et al., J. Funct. Anal. 278, No. 4, Article ID 108341, 56 p. (2020; Zbl 1430.42020) Full Text: DOI arXiv OpenURL
Mustafayev, R. Ch.; Bilgiçli, N. Generalized fractional maximal functions in Lorentz spaces \(\Lambda\). (English) Zbl 1403.42021 J. Math. Inequal. 12, No. 3, 827-851 (2018). MSC: 42B25 42B35 PDF BibTeX XML Cite \textit{R. Ch. Mustafayev} and \textit{N. Bilgiçli}, J. Math. Inequal. 12, No. 3, 827--851 (2018; Zbl 1403.42021) Full Text: DOI arXiv OpenURL
Jain, Pankaj; Singh, Monika; Singh, Arun Pal Hardy-type integral inequalities for quasi-monotone functions. (English) Zbl 1386.26017 Georgian Math. J. 24, No. 4, 523-533 (2017). MSC: 26D10 26D15 PDF BibTeX XML Cite \textit{P. Jain} et al., Georgian Math. J. 24, No. 4, 523--533 (2017; Zbl 1386.26017) Full Text: DOI OpenURL
Gogatishvili, Amiran; Křepela, Martin; Pick, Luboš; Soudský, Filip Embeddings of Lorentz-type spaces involving weighted integral means. (English) Zbl 1383.46023 J. Funct. Anal. 273, No. 9, 2939-2980 (2017). MSC: 46E30 47G10 47B38 26D10 PDF BibTeX XML Cite \textit{A. Gogatishvili} et al., J. Funct. Anal. 273, No. 9, 2939--2980 (2017; Zbl 1383.46023) Full Text: DOI OpenURL
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo Continuity properties of solutions to the \(p\)-Laplace system. (English) Zbl 1378.35145 Adv. Calc. Var. 10, No. 1, 1-24 (2017). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 35J92 35B65 46E30 PDF BibTeX XML Cite \textit{A. Alberico} et al., Adv. Calc. Var. 10, No. 1, 1--24 (2017; Zbl 1378.35145) Full Text: DOI OpenURL
Boza, Santiago; Soria, Javier Norm estimates for the Hardy operator in terms of \(B_p\) weights. (English) Zbl 1366.26024 Proc. Am. Math. Soc. 145, No. 6, 2455-2465 (2017). Reviewer: Choonkil Park (Seoul) MSC: 26D15 42B25 46E30 PDF BibTeX XML Cite \textit{S. Boza} and \textit{J. Soria}, Proc. Am. Math. Soc. 145, No. 6, 2455--2465 (2017; Zbl 1366.26024) Full Text: DOI OpenURL
Foralewski, Paweł; Leśnik, Karol; Maligranda, Lech Some remarks on level functions and their applications. (English) Zbl 1416.46030 Commentat. Math. 56, No. 1, 55-86 (2016). MSC: 46E30 46B20 46B42 PDF BibTeX XML Cite \textit{P. Foralewski} et al., Commentat. Math. 56, No. 1, 55--86 (2016; Zbl 1416.46030) Full Text: DOI Link OpenURL
Prokhorov, Dmitrii V.; Stepanov, Vladimir D. Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces. (English. Russian original) Zbl 1365.26022 Sb. Math. 207, No. 8, 1159-1186 (2016); translation from Mat. Sb. 207, No. 7, 135-162 (2016). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 47G10 PDF BibTeX XML Cite \textit{D. V. Prokhorov} and \textit{V. D. Stepanov}, Sb. Math. 207, No. 8, 1159--1186 (2016; Zbl 1365.26022); translation from Mat. Sb. 207, No. 7, 135--162 (2016) Full Text: DOI arXiv OpenURL
Stepanov, V. D.; Shambilova, G. E. Boundedness of quasilinear integral operators on the cone of monotone functions. (English. Russian original) Zbl 1360.45012 Sib. Math. J. 57, No. 5, 884-904 (2016); translation from Sib. Mat. Zh. 57, No. 5, 1131-1155 (2016). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 45P05 26D15 47G10 PDF BibTeX XML Cite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Sib. Math. J. 57, No. 5, 884--904 (2016; Zbl 1360.45012); translation from Sib. Mat. Zh. 57, No. 5, 1131--1155 (2016) Full Text: DOI OpenURL
Jain, Pankaj; Singh, Monika; Singh, Arun Pal Hardy type operators on grand Lebesgue spaces for non-increasing functions. (English) Zbl 1350.42012 Trans. A. Razmadze Math. Inst. 170, No. 1, 34-46 (2016). MSC: 42A99 PDF BibTeX XML Cite \textit{P. Jain} et al., Trans. A. Razmadze Math. Inst. 170, No. 1, 34--46 (2016; Zbl 1350.42012) Full Text: DOI OpenURL
Gogatishvili, Amiran; Aykol, Canay; Guliyev, Vagif S. Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings. (English) Zbl 1361.46022 Stud. Math. 228, No. 3, 223-233 (2015). Reviewer: Javier Soria (Barcelona) MSC: 46E30 42B35 PDF BibTeX XML Cite \textit{A. Gogatishvili} et al., Stud. Math. 228, No. 3, 223--233 (2015; Zbl 1361.46022) Full Text: DOI OpenURL
Cianchi, Andrea; Maz’ya, Vladimir Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems. (English) Zbl 1288.35128 J. Eur. Math. Soc. (JEMS) 16, No. 3, 571-595 (2014). Reviewer: Huansong Zhou (Wuhan) MSC: 35B45 35J92 35J66 PDF BibTeX XML Cite \textit{A. Cianchi} and \textit{V. Maz'ya}, J. Eur. Math. Soc. (JEMS) 16, No. 3, 571--595 (2014; Zbl 1288.35128) Full Text: DOI OpenURL
Gogatishvili, Amiran; Stepanov, Vladimir D. Reduction theorems for operators on the cones of monotone functions. (English) Zbl 1326.47063 J. Math. Anal. Appl. 405, No. 1, 156-172 (2013). Reviewer: Vladimir Kadets (Kharkov) MSC: 47H07 46E30 PDF BibTeX XML Cite \textit{A. Gogatishvili} and \textit{V. D. Stepanov}, J. Math. Anal. Appl. 405, No. 1, 156--172 (2013; Zbl 1326.47063) Full Text: DOI OpenURL
Gogatishvili, A.; Stepanov, V. D. Reduction theorems for weighted integral inequalities on the cone of monotone functions. (English. Russian summary) Zbl 1288.26018 Russ. Math. Surv. 68, No. 4, 597-664 (2013); translation from Usp. Mat. Nauk 68, No. 4, 3-68 (2013). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 47G10 PDF BibTeX XML Cite \textit{A. Gogatishvili} and \textit{V. D. Stepanov}, Russ. Math. Surv. 68, No. 4, 597--664 (2013; Zbl 1288.26018); translation from Usp. Mat. Nauk 68, No. 4, 3--68 (2013) Full Text: DOI OpenURL
Boza, Santiago; Soria, Javier Weighted weak modular and norm inequalities for the Hardy operator in variable \(L^p\) spaces of monotone functions. (English) Zbl 1276.26042 Rev. Mat. Complut. 25, No. 2, 459-474 (2012). MSC: 26D10 46E30 PDF BibTeX XML Cite \textit{S. Boza} and \textit{J. Soria}, Rev. Mat. Complut. 25, No. 2, 459--474 (2012; Zbl 1276.26042) Full Text: DOI OpenURL
Li, HongLiang Hardy-type inequalities on strong and weak Orlicz-Lorentz spaces. (English) Zbl 1267.46044 Sci. China, Math. 55, No. 12, 2493-2505 (2012). MSC: 46E30 46B42 46A16 PDF BibTeX XML Cite \textit{H. Li}, Sci. China, Math. 55, No. 12, 2493--2505 (2012; Zbl 1267.46044) Full Text: DOI OpenURL
Agora, Elona; Carro, María J.; Soria, Javier Boundedness of the Hilbert transform on weighted Lorentz spaces. (English) Zbl 1248.42010 J. Math. Anal. Appl. 395, No. 1, 218-229 (2012). Reviewer: Giuseppe Di Fazio (Catania) MSC: 42B10 42B25 PDF BibTeX XML Cite \textit{E. Agora} et al., J. Math. Anal. Appl. 395, No. 1, 218--229 (2012; Zbl 1248.42010) Full Text: DOI OpenURL
Carro, María J.; Marcoci, Anca N.; Marcoci, Liviu G. Extrapolation on the cone of decreasing functions. (English) Zbl 1246.46015 J. Approx. Theory 164, No. 5, 776-790 (2012). MSC: 46B70 PDF BibTeX XML Cite \textit{M. J. Carro} et al., J. Approx. Theory 164, No. 5, 776--790 (2012; Zbl 1246.46015) Full Text: DOI OpenURL
Popova, O. V. Hardy-type inequalities on the cones of monotone functions. (English. Russian original) Zbl 1257.26025 Sib. Math. J. 53, No. 1, 152-167 (2012); translation from Sib. Mat. Zh. 53, No. 1, 187-204 (2012). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 26D10 PDF BibTeX XML Cite \textit{O. V. Popova}, Sib. Math. J. 53, No. 1, 152--167 (2012; Zbl 1257.26025); translation from Sib. Mat. Zh. 53, No. 1, 187--204 (2012) Full Text: DOI OpenURL
Meskhi, Alexander; Murtaza, Ghulam Potential operators on cones of nonincreasing functions. (English) Zbl 1237.47054 J. Funct. Spaces Appl. 2012, Article ID 474681, 26 p. (2012). MSC: 47G40 PDF BibTeX XML Cite \textit{A. Meskhi} and \textit{G. Murtaza}, J. Funct. Spaces Appl. 2012, Article ID 474681, 26 p. (2012; Zbl 1237.47054) Full Text: DOI OpenURL
Meskhi, A. Weighted criteria for the Hardy transform under the \(B_p\) condition in grand Lebesgue spaces and some applications. (English. Russian original) Zbl 1291.42008 J. Math. Sci., New York 178, No. 6, 622-636 (2011); translation from Probl. Math. Anal. 60, 53-64 (2011). MSC: 42A38 PDF BibTeX XML Cite \textit{A. Meskhi}, J. Math. Sci., New York 178, No. 6, 622--636 (2011; Zbl 1291.42008); translation from Probl. Math. Anal. 60, 53--64 (2011) Full Text: DOI OpenURL
Rodríguez-López, Salvador; Soria, Javier A new class of restricted type spaces. (English) Zbl 1250.46020 Proc. Edinb. Math. Soc., II. Ser. 54, No. 3, 749-759 (2011). Reviewer: Anna Kamińska (Memphis) MSC: 46E30 26D10 PDF BibTeX XML Cite \textit{S. Rodríguez-López} and \textit{J. Soria}, Proc. Edinb. Math. Soc., II. Ser. 54, No. 3, 749--759 (2011; Zbl 1250.46020) Full Text: DOI OpenURL
Stepanov, Vladimir D.; Tikhonov, Sergey Yu. Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. (English) Zbl 1237.44005 Complex Var. Elliptic Equ. 56, No. 10-11, 1039-1047 (2011). Reviewer: Frank Stenger (Salt Lake City) MSC: 44A15 26A48 42A50 26D10 PDF BibTeX XML Cite \textit{V. D. Stepanov} and \textit{S. Yu. Tikhonov}, Complex Var. Elliptic Equ. 56, No. 10--11, 1039--1047 (2011; Zbl 1237.44005) Full Text: DOI OpenURL
Carro, María J.; Lorente, María Rubio de Francia’s extrapolation theorem for \(B_p\) weights. (English) Zbl 1185.26025 Proc. Am. Math. Soc. 138, No. 2, 629-640 (2010). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 26D10 46E20 PDF BibTeX XML Cite \textit{M. J. Carro} and \textit{M. Lorente}, Proc. Am. Math. Soc. 138, No. 2, 629--640 (2010; Zbl 1185.26025) Full Text: DOI OpenURL
Gogatishvili, A.; Kufner, A.; Persson, L.-E. Some new scales of weight characterizations of the class \(B_p\). (English) Zbl 1199.26057 Acta Math. Hung. 123, No. 4, 365-377 (2009). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 26D10 26D15 47B07 47B38 PDF BibTeX XML Cite \textit{A. Gogatishvili} et al., Acta Math. Hung. 123, No. 4, 365--377 (2009; Zbl 1199.26057) Full Text: DOI OpenURL
Gogatishvili, Amiran; Pick, Luboš A reduction theorem for supremum operators. (English) Zbl 1127.26012 J. Comput. Appl. Math. 208, No. 1, 270-279 (2007). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 26D10 PDF BibTeX XML Cite \textit{A. Gogatishvili} and \textit{L. Pick}, J. Comput. Appl. Math. 208, No. 1, 270--279 (2007; Zbl 1127.26012) Full Text: DOI OpenURL
Gogatishvili, A.; Johansson, M.; Okpoti, C. A.; Persson, L.-E. Characterisation of embeddings in Lorentz spaces. (English) Zbl 1128.26012 Bull. Aust. Math. Soc. 76, No. 1, 69-92 (2007). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 47B37 PDF BibTeX XML Cite \textit{A. Gogatishvili} et al., Bull. Aust. Math. Soc. 76, No. 1, 69--92 (2007; Zbl 1128.26012) Full Text: DOI OpenURL
Carro, María J.; Gogatishvili, Amiran; Martín, Joaquim; Pick, Luboš Functional properties of rearrangement invariant spaces defined in terms of oscillations. (English) Zbl 1110.46012 J. Funct. Anal. 229, No. 2, 375-404 (2005). Reviewer: W. D. Evans (Cardiff) MSC: 46B42 46E30 PDF BibTeX XML Cite \textit{M. J. Carro} et al., J. Funct. Anal. 229, No. 2, 375--404 (2005; Zbl 1110.46012) Full Text: DOI OpenURL
Kamińska, Anna; Maligranda, Lech On Lorentz spaces \(\Gamma_{p,w}\). (English) Zbl 1068.46019 Isr. J. Math. 140, 285-318 (2004). Reviewer: Michael Karlov (Moskva) MSC: 46E30 46B20 46B03 PDF BibTeX XML Cite \textit{A. Kamińska} and \textit{L. Maligranda}, Isr. J. Math. 140, 285--318 (2004; Zbl 1068.46019) Full Text: DOI OpenURL
Cerdà, Joan; Martín, Joaquim Interpolation restricted to decreasing functions and Lorentz spaces. (English) Zbl 0932.46017 Proc. Edinb. Math. Soc., II. Ser. 42, No. 2, 243-256 (1999). Reviewer: J.Cerdà (Barcelona) MSC: 46B70 46E30 46M35 PDF BibTeX XML Cite \textit{J. Cerdà} and \textit{J. Martín}, Proc. Edinb. Math. Soc., II. Ser. 42, No. 2, 243--256 (1999; Zbl 0932.46017) Full Text: DOI OpenURL
Carro, María J.; García del Amo, Alejandro; Soria, Javier Weak-type weights and normable Lorentz spaces. (English) Zbl 0853.42016 Proc. Am. Math. Soc. 124, No. 3, 849-857 (1996). Reviewer: S.V.Kislyakov (St.Peterburg) MSC: 42B25 46E30 PDF BibTeX XML Cite \textit{M. J. Carro} et al., Proc. Am. Math. Soc. 124, No. 3, 849--857 (1996; Zbl 0853.42016) Full Text: DOI OpenURL