Kassymov, Aidyn; Ruzhansky, Michael; Suragan, Durvudkhan Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and \(p\)-sub-Laplacian systems. (English) Zbl 07785432 Potential Anal. 59, No. 4, 1971-1994 (2023). MSC: 43A80 22E30 PDFBibTeX XMLCite \textit{A. Kassymov} et al., Potential Anal. 59, No. 4, 1971--1994 (2023; Zbl 07785432) Full Text: DOI arXiv OA License
Kassymov, Aidyn; Ruzhansky, Michael; Suragan, Durvudkhan Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups. (English) Zbl 1519.43005 Forum Math. 34, No. 5, 1147-1158 (2022). Reviewer: Hajer Bahouri (Paris) MSC: 43A80 22E30 PDFBibTeX XMLCite \textit{A. Kassymov} et al., Forum Math. 34, No. 5, 1147--1158 (2022; Zbl 1519.43005) Full Text: DOI arXiv
Abdikarim, Aidana; Suragan, Durvudkhan Green’s identities for \((p, q)\)-sub-Laplacians on the Heisenberg group and their applications. (English) Zbl 1485.35364 Complex Anal. Oper. Theory 16, No. 3, Paper No. 41, 13 p. (2022). MSC: 35R03 35H20 35A01 35A02 22E30 PDFBibTeX XMLCite \textit{A. Abdikarim} and \textit{D. Suragan}, Complex Anal. Oper. Theory 16, No. 3, Paper No. 41, 13 p. (2022; Zbl 1485.35364) Full Text: DOI
Kassymov, Aidyn; Ruzhansky, Michael; Suragan, Durvudkhan Reverse integral Hardy inequality on metric measure spaces. (English) Zbl 1490.46035 Ann. Fenn. Math. 47, No. 1, 39-55 (2022). MSC: 46E36 43A80 22E30 30L99 PDFBibTeX XMLCite \textit{A. Kassymov} et al., Ann. Fenn. Math. 47, No. 1, 39--55 (2022; Zbl 1490.46035) Full Text: DOI arXiv
Ozawa, Tohru; Suragan, Durvudkhan Poincaré inequalities with exact missing terms on homogeneous groups. (English) Zbl 1489.43008 J. Math. Soc. Japan 73, No. 2, 497-503 (2021). MSC: 43A80 22E30 46E35 PDFBibTeX XMLCite \textit{T. Ozawa} and \textit{D. Suragan}, J. Math. Soc. Japan 73, No. 2, 497--503 (2021; Zbl 1489.43008) Full Text: DOI
Restrepo, Joel E.; Suragan, Durvudkhan Hardy type inequalities in generalized grand Lebesgue spaces. (English) Zbl 1494.43001 Adv. Oper. Theory 6, No. 2, Paper No. 30, 32 p. (2021). Reviewer: Michael J. Puls (New York) MSC: 43A15 43A80 22E30 46E30 PDFBibTeX XMLCite \textit{J. E. Restrepo} and \textit{D. Suragan}, Adv. Oper. Theory 6, No. 2, Paper No. 30, 32 p. (2021; Zbl 1494.43001) Full Text: DOI
Ozawa, Tohru; Suragan, Durvudkhan Sharp remainder of the Poincaré inequality. (English) Zbl 1446.35010 Proc. Am. Math. Soc. 148, No. 10, 4235-4239 (2020). MSC: 35A23 22E30 35R03 PDFBibTeX XMLCite \textit{T. Ozawa} and \textit{D. Suragan}, Proc. Am. Math. Soc. 148, No. 10, 4235--4239 (2020; Zbl 1446.35010) Full Text: DOI
Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups. (English) Zbl 1468.22009 Semigroup Forum 101, No. 1, 162-191 (2020). MSC: 22A20 22E30 43A80 46E35 PDFBibTeX XMLCite \textit{M. Ruzhansky} et al., Semigroup Forum 101, No. 1, 162--191 (2020; Zbl 1468.22009) Full Text: DOI arXiv
Kassymov, Aidyn; Ruzhansky, Michael; Suragan, Durvudkhan Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups. (English) Zbl 1432.22015 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 1, Paper No. 7, 19 p. (2020). Reviewer: Marius Ghergu (Dublin) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{A. Kassymov} et al., NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 1, Paper No. 7, 19 p. (2020; Zbl 1432.22015) Full Text: DOI Link
Kassymov, A.; Suragan, D. Reversed Hardy-Littlewood-Sobolev inequality on homogeneous Lie groups. (Russian. English summary) Zbl 1488.22008 Kazakh Math. J. 19, No. 1, 50-58 (2019). MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{A. Kassymov} and \textit{D. Suragan}, Kazakh Math. J. 19, No. 1, 50--58 (2019; Zbl 1488.22008)
Ruzhansky, Michael; Suragan, Durvudkhan Critical Hardy inequalities. (English) Zbl 1419.22009 Ann. Acad. Sci. Fenn., Math. 44, No. 2, 1159-1174 (2019). Reviewer: Dumitru Motreanu (Perpignan) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{D. Suragan}, Ann. Acad. Sci. Fenn., Math. 44, No. 2, 1159--1174 (2019; Zbl 1419.22009) Full Text: DOI arXiv Link
Kassymov, Aidyn; Ruzhansky, Michael; Suragan, Durvudkhan Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. (English) Zbl 1416.22012 Integral Transforms Spec. Funct. 30, No. 8, 643-655 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{A. Kassymov} et al., Integral Transforms Spec. Funct. 30, No. 8, 643--655 (2019; Zbl 1416.22012) Full Text: DOI arXiv
Sabitbek, Bolys; Suragan, Durvudkhan On Green functions for Dirichelet sub-Laplacians on a quaternion Heisenberg group. (English) Zbl 1406.22009 Math. Model. Nat. Phenom. 13, No. 4, Paper No. 39, 14 p. (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{B. Sabitbek} and \textit{D. Suragan}, Math. Model. Nat. Phenom. 13, No. 4, Paper No. 39, 14 p. (2018; Zbl 1406.22009) Full Text: DOI
Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces. (English) Zbl 1406.22008 Fract. Calc. Appl. Anal. 21, No. 3, 577-612 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{M. Ruzhansky} et al., Fract. Calc. Appl. Anal. 21, No. 3, 577--612 (2018; Zbl 1406.22008) Full Text: DOI arXiv
Ruzhansky, Michael; Suragan, Durvudkhan A note on stability of Hardy inequalities. (English) Zbl 1439.22023 Ann. Funct. Anal. 9, No. 4, 451-462 (2018). MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{D. Suragan}, Ann. Funct. Anal. 9, No. 4, 451--462 (2018; Zbl 1439.22023) Full Text: DOI arXiv Euclid Link
Sabitbek, Bolys; Suragan, Durvudkhan Horizontal weighted Hardy-Rellich type inequalities on stratified Lie groups. (English) Zbl 1430.22012 Complex Anal. Oper. Theory 12, No. 6, 1469-1480 (2018). MSC: 22E30 35A23 35R03 43A80 PDFBibTeX XMLCite \textit{B. Sabitbek} and \textit{D. Suragan}, Complex Anal. Oper. Theory 12, No. 6, 1469--1480 (2018; Zbl 1430.22012) Full Text: DOI
Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups. (English) Zbl 1430.22011 Integral Equations Oper. Theory 90, No. 1, Paper No. 10, 33 p. (2018). MSC: 22E30 22E25 35A23 46E35 PDFBibTeX XMLCite \textit{M. Ruzhansky} et al., Integral Equations Oper. Theory 90, No. 1, Paper No. 10, 33 p. (2018; Zbl 1430.22011) Full Text: DOI arXiv
Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for \(L^{p}\)-weighted Hardy inequalities. (English) Zbl 1383.22005 Trans. Am. Math. Soc., Ser. B 5, 32-62 (2018). Reviewer: George Stoica (Saint John) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{M. Ruzhansky} et al., Trans. Am. Math. Soc., Ser. B 5, 32--62 (2018; Zbl 1383.22005) Full Text: DOI arXiv
Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups. (English) Zbl 1386.22005 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 5, Paper No. 56, 12 p. (2017). Reviewer: Marius Ghergu (Dublin) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{M. Ruzhansky} et al., NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 5, Paper No. 56, 12 p. (2017; Zbl 1386.22005) Full Text: DOI arXiv
Ruzhansky, Michael; Suragan, Durvudkhan Anisotropic \(L^2\)-weighted Hardy and \(L^2\)-Caffarelli-Kohn-Nirenberg inequalities. (English) Zbl 1376.22010 Commun. Contemp. Math. 19, No. 6, Article ID 1750014, 12 p. (2017). Reviewer: Marius Ghergu (Dublin) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{D. Suragan}, Commun. Contemp. Math. 19, No. 6, Article ID 1750014, 12 p. (2017; Zbl 1376.22010) Full Text: DOI arXiv
Ruzhansky, Michael; Suragan, Durvudkhan Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups. (English) Zbl 1376.22009 Adv. Math. 317, 799-822 (2017). Reviewer: Lubomira Softova (Salerno) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{D. Suragan}, Adv. Math. 317, 799--822 (2017; Zbl 1376.22009) Full Text: DOI arXiv
Ruzhansky, Michael; Suragan, Durvudkhan On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups. (English) Zbl 1358.22003 J. Differ. Equations 262, No. 3, 1799-1821 (2017). Reviewer: Lubomira Softova (Aversa) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{D. Suragan}, J. Differ. Equations 262, No. 3, 1799--1821 (2017; Zbl 1358.22003) Full Text: DOI arXiv