Vasil’eva, A. A. Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order \(r\) and zero. (English) Zbl 1471.41013 J. Approx. Theory 269, Article ID 105602, 34 p. (2021). Reviewer: Allan Pinkus (Haifa) MSC: 41A46 46E35 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, J. Approx. Theory 269, Article ID 105602, 34 p. (2021; Zbl 1471.41013) Full Text: DOI arXiv OpenURL
Sun, Qinxiu; Yu, Xiao; Li, Hongliang The supremum-involving Hardy-type operators on Lorentz-type spaces. (English) Zbl 1451.42035 Port. Math. (N.S.) 77, No. 1, 1-29 (2020). MSC: 42B35 42B15 PDF BibTeX XML Cite \textit{Q. Sun} et al., Port. Math. (N.S.) 77, No. 1, 1--29 (2020; Zbl 1451.42035) Full Text: DOI OpenURL
Li, Hongliang; Sun, Qinxiu; Yu, Xiao Boundedness and compactness of Hardy-type integral operators on Lorentz-type spaces. (English) Zbl 06911787 Forum Math. 30, No. 4, 997-1011 (2018). MSC: 47G10 46E30 46B42 PDF BibTeX XML Cite \textit{H. Li} et al., Forum Math. 30, No. 4, 997--1011 (2018; Zbl 06911787) Full Text: DOI OpenURL
Nasyrova, M. G.; Ushakova, E. P. Hardy-Steklov operators and Sobolev-type embedding inequalities. (English. Russian original) Zbl 1358.47033 Proc. Steklov Inst. Math. 293, 228-254 (2016); translation from Tr. Mat. Inst. Steklova 293, 236-262 (2016). MSC: 47G10 46E35 26A33 PDF BibTeX XML Cite \textit{M. G. Nasyrova} and \textit{E. P. Ushakova}, Proc. Steklov Inst. Math. 293, 228--254 (2016; Zbl 1358.47033); translation from Tr. Mat. Inst. Steklova 293, 236--262 (2016) Full Text: DOI OpenURL
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka Higher-order Sobolev embeddings and isoperimetric inequalities. (English) Zbl 1334.46027 Adv. Math. 273, 568-650 (2015). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{A. Cianchi} et al., Adv. Math. 273, 568--650 (2015; Zbl 1334.46027) Full Text: DOI arXiv 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
Vasil’eva, A. A. Kolmogorov widths and approximation numbers of Sobolev classes with singular weights. (English. Russian original) Zbl 1275.41033 St. Petersbg. Math. J. 24, No. 1, 1-27 (2013); translation from Algebra Anal. 24, No. 1, 3-39 (2012). MSC: 41A46 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, St. Petersbg. Math. J. 24, No. 1, 1--27 (2013; Zbl 1275.41033); translation from Algebra Anal. 24, No. 1, 3--39 (2012) Full Text: DOI OpenURL
Farsani, S. M. On the boundedness and compactness of a certain integral operator. (English) Zbl 1270.26019 Banach J. Math. Anal. 7, No. 2, 86-102 (2013). MSC: 26D10 47G10 26D15 26D07 PDF BibTeX XML Cite \textit{S. M. Farsani}, Banach J. Math. Anal. 7, No. 2, 86--102 (2013; Zbl 1270.26019) Full Text: DOI Euclid OpenURL
Prokhorov, Dmitry V. Lorentz norm inequalities for the Hardy operator involving suprema. (English) Zbl 1247.26037 Proc. Am. Math. Soc. 140, No. 5, 1585-1592 (2012). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 47G10 PDF BibTeX XML Cite \textit{D. V. Prokhorov}, Proc. Am. Math. Soc. 140, No. 5, 1585--1592 (2012; Zbl 1247.26037) Full Text: DOI OpenURL
Oĭnarov, R. Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits. (English) Zbl 1237.47051 Sib. Math. J. 52, No. 6, 1042-1055 (2011); translation from Sib. Mat. Zh. 52, No. 6, 1329-1340 (2011). Reviewer: Denis Sidorov (Irkutsk) MSC: 47G10 45P05 47B38 PDF BibTeX XML Cite \textit{R. Oĭnarov}, Sib. Math. J. 52, No. 6, 1042--1055 (2011; Zbl 1237.47051); translation from Sib. Mat. Zh. 52, No. 6, 1329--1340 (2011) Full Text: DOI OpenURL
Vasil’eva, A. A. Widths of weighted Sobolev classes on a closed interval and the spectra of nonlinear differential equations. (English) Zbl 1272.46028 Russ. J. Math. Phys. 17, No. 3, 363-393 (2010). Reviewer: Manfred Möller (Johannesburg) MSC: 46E35 41A46 34L30 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, Russ. J. Math. Phys. 17, No. 3, 363--393 (2010; Zbl 1272.46028) Full Text: DOI OpenURL
Vasil’eva, A. A. Criterion for the existence of a continuous embedding of a weighted Sobolev class on a closed interval and on a semiaxis. (English) Zbl 1192.46033 Russ. J. Math. Phys. 16, No. 4, 543-562 (2009). MSC: 46E35 41A46 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, Russ. J. Math. Phys. 16, No. 4, 543--562 (2009; Zbl 1192.46033) Full Text: DOI OpenURL
Ashraf, Usman; Asif, Muhammad; Meskhi, Alexander Boundedness and compactness of positive integral operators on cones of homogeneous groups. (English) Zbl 1179.26016 Positivity 13, No. 3, 497-518 (2009). MSC: 26A33 42B25 43A15 46B50 47B10 47B34 PDF BibTeX XML Cite \textit{U. Ashraf} et al., Positivity 13, No. 3, 497--518 (2009; Zbl 1179.26016) Full Text: DOI OpenURL
Cianchi, Andrea Hardy inequalities in Orlicz spaces. (English) Zbl 0920.46021 Trans. Am. Math. Soc. 351, No. 6, 2459-2478 (1999). MSC: 46E30 46E35 PDF BibTeX XML Cite \textit{A. Cianchi}, Trans. Am. Math. Soc. 351, No. 6, 2459--2478 (1999; Zbl 0920.46021) Full Text: DOI OpenURL