Jain, Sandhya; Jain, Pankaj Hausdorff and Dunkl-Hausdorff operators in Lebesgue spaces for monotone functions and monotone weights. (English) Zbl 07636972 Positivity 27, No. 1, Paper No. 10, 23 p. (2023). MSC: 47B38 26D10 26D15 PDF BibTeX XML Cite \textit{S. Jain} and \textit{P. Jain}, Positivity 27, No. 1, Paper No. 10, 23 p. (2023; Zbl 07636972) Full Text: DOI OpenURL
Gogatishvili, Amiran; Neves, Júlio S. Weighted norm inequalities for positive operators restricted on the cone of \(\lambda\)-quasiconcave functions. (English) Zbl 1440.26016 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 17-39 (2020); corrigendum ibid. 152, No. 2, 542-543 (2022). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 26D10 26D07 26D15 PDF BibTeX XML Cite \textit{A. Gogatishvili} and \textit{J. S. Neves}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 17--39 (2020; Zbl 1440.26016) Full Text: DOI 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
Berezhnoĭ, E. I.; Maligranda, L. Representability of cones of monotone functions in weighted Lebesgue spaces and extrapolation of operators on these cones. (Represensibility of cones of monotone functions in weighted Lebesgue spaces and extrapolation of operators on these cones.) (English. Russian original) Zbl 1400.46021 St. Petersbg. Math. J. 29, No. 4, 545-574 (2018); translation from Algebra Anal. 29, No. 4, 1-44 (2017). MSC: 46E30 46B42 PDF BibTeX XML Cite \textit{E. I. Berezhnoĭ} and \textit{L. Maligranda}, St. Petersbg. Math. J. 29, No. 4, 545--574 (2018; Zbl 1400.46021); translation from Algebra Anal. 29, No. 4, 1--44 (2017) Full Text: DOI OpenURL
Stepanov, Vladimir Dmitrievich; Shambilova, Guldarya Ermakovna On the boundedness of quasilinear integral operators of iterated type with Oinarov’s kernels on the cone of monotone functions. (English) Zbl 1463.26072 Eurasian Math. J. 8, No. 2, 47-73 (2017). MSC: 26D15 PDF BibTeX XML Cite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Eurasian Math. J. 8, No. 2, 47--73 (2017; Zbl 1463.26072) Full Text: DOI MNR OpenURL
Stepanov, V. D.; Shambilova, G. E. Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions. (English. Russian original) Zbl 1495.45009 Dokl. Math. 96, No. 1, 315-320 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 1, 17-23 (2016). MSC: 45P05 PDF BibTeX XML Cite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 96, No. 1, 315--320 (2017; Zbl 1495.45009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 1, 17--23 (2016) 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
Stepanov, V. D.; Shambilova, G. E. Boundedness of a class of quasilinear operators on the cone of monotone functions. (English. Russian original) Zbl 1489.47071 Dokl. Math. 94, No. 3, 697-702 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 645-650 (2016). MSC: 47G10 PDF BibTeX XML Cite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 94, No. 3, 697--702 (2016; Zbl 1489.47071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 645--650 (2016) Full Text: DOI 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
Stepanov, V. D. On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions. (English. Russian original) Zbl 1344.46025 Dokl. Math. 92, No. 2, 545-547 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 2, 145-147 (2015). MSC: 46E30 PDF BibTeX XML Cite \textit{V. D. Stepanov}, Dokl. Math. 92, No. 2, 545--547 (2015; Zbl 1344.46025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 2, 145--147 (2015) Full Text: DOI OpenURL
Persson, L.-E.; Shambilova, G. E.; Stepanov, V. D. Hardy-type inequalities on the weighted cones of quasi-concave functions. (English) Zbl 1312.26046 Banach J. Math. Anal. 9, No. 2, 21-34 (2015). MSC: 26D15 47G10 PDF BibTeX XML Cite \textit{L. E. Persson} et al., Banach J. Math. Anal. 9, No. 2, 21--34 (2015; Zbl 1312.26046) Full Text: DOI Euclid OpenURL
Stepanov, V. D.; Shambilova, G. E. Weight boundedness of a class of quasilinear operators on the cone of monotone functions. (English. Russian original) Zbl 1311.47013 Dokl. Math. 90, No. 2, 569-572 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 268-271 (2014). Reviewer: V. Lokesha (Bangalore) MSC: 47A30 26D10 PDF BibTeX XML Cite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 90, No. 2, 569--572 (2014; Zbl 1311.47013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 268--271 (2014) Full Text: DOI OpenURL
Shambilova, G. E. The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions. (English. Russian original) Zbl 1318.26047 Sib. Math. J. 55, No. 4, 745-767 (2014); translation from Sib. Mat. Zh. 55, No. 4, 912-936 (2014). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D15 PDF BibTeX XML Cite \textit{G. E. Shambilova}, Sib. Math. J. 55, No. 4, 745--767 (2014; Zbl 1318.26047); translation from Sib. Mat. Zh. 55, No. 4, 912--936 (2014) 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
Gogatishvili, A.; Stepanov, V. D. Integral operators on cones of monotone functions. (English. Russian original) Zbl 1281.26014 Dokl. Math. 86, No. 1, 562-565 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 6, 618-621 (2012). Reviewer: Joaquím Martín (Barcelona) MSC: 26D10 PDF BibTeX XML Cite \textit{A. Gogatishvili} and \textit{V. D. Stepanov}, Dokl. Math. 86, No. 1, 562--565 (2012; Zbl 1281.26014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 6, 618--621 (2012) 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
Goldman, M. L. On equivalent criteria for the boundedness of Hardy type operators on the cone of decreasing functions. (English) Zbl 1240.42113 Anal. Math. 37, No. 2, 83-102 (2011). MSC: 42B30 PDF BibTeX XML Cite \textit{M. L. Goldman}, Anal. Math. 37, No. 2, 83--102 (2011; Zbl 1240.42113) 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
Persson, Lars-Erik; Popova, Olga V.; Stepanov, Vladimir D. Two-sided Hardy-type inequalities for monotone functions. (English) Zbl 1217.26034 Complex Var. Elliptic Equ. 55, No. 8-10, 973-989 (2010). Reviewer: Wing-Sum Cheung (Hong Kong) MSC: 26D10 PDF BibTeX XML Cite \textit{L.-E. Persson} et al., Complex Var. Elliptic Equ. 55, No. 8--10, 973--989 (2010; Zbl 1217.26034) Full Text: DOI OpenURL
Stepanov, V. D.; Persson, L. E.; Popova, O. V. Two-sided Hardy-type inequalities for monotone functions. (English. Russian original) Zbl 1196.26033 Dokl. Math. 80, No. 3, 814-817 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 159-162 (2009). Reviewer: B. G. Pachpatte (Aurangabad) MSC: 26D15 PDF BibTeX XML Cite \textit{V. D. Stepanov} et al., Dokl. Math. 80, No. 3, 814--817 (2009; Zbl 1196.26033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 159--162 (2009) 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
Pečarić, Josip; Perić, Ivan; Roki, Rajko On bounds for weighted norms for matrices and integral operators. (English) Zbl 0985.15021 Linear Algebra Appl. 326, No. 1-3, 121-135 (2001). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A60 15A45 47A30 47G10 PDF BibTeX XML Cite \textit{J. Pečarić} et al., Linear Algebra Appl. 326, No. 1--3, 121--135 (2001; Zbl 0985.15021) 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