Liao, Minfeng; Li, Jinxia; Li, Bo; Li, Baode A new molecular characterization of diagonal anisotropic Musielak-Orlicz Hardy spaces. (English) Zbl 07300230 Bull. Sci. Math. 166, Article ID 102939, 29 p. (2021). MSC: 42B30 42B20 42B35 46E30 PDF BibTeX XML Cite \textit{M. Liao} et al., Bull. Sci. Math. 166, Article ID 102939, 29 p. (2021; Zbl 07300230) Full Text: DOI
Guo, Qingdong; Wang, Wenhua The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents. (English) Zbl 1442.42038 Open Math. 18, 434-447 (2020). MSC: 42B20 42B30 42B35 46E30 PDF BibTeX XML Cite \textit{Q. Guo} and \textit{W. Wang}, Open Math. 18, 434--447 (2020; Zbl 1442.42038) Full Text: DOI
Bekmaganbetov, K. A.; Toleugazy, Y. On the order of the trigonometric diameter of the anisotropic Nikol’skii-Besov class in the metric of anisotropic Lorentz spaces. (English) Zbl 1438.41022 Anal. Math. 45, No. 2, 237-247 (2019). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A30 42B35 PDF BibTeX XML Cite \textit{K. A. Bekmaganbetov} and \textit{Y. Toleugazy}, Anal. Math. 45, No. 2, 237--247 (2019; Zbl 1438.41022) Full Text: DOI
Huang, Long; Liu, Jun; Yang, Dachun; Yuan, Wen Dual spaces of anisotropic mixed-norm Hardy spaces. (English) Zbl 1412.42060 Proc. Am. Math. Soc. 147, No. 3, 1201-1215 (2019). Reviewer: Javier Soria (Barcelona) MSC: 42B35 42B30 46E30 PDF BibTeX XML Cite \textit{L. Huang} et al., Proc. Am. Math. Soc. 147, No. 3, 1201--1215 (2019; Zbl 1412.42060) Full Text: DOI arXiv
Zhao, H.; Zhou, J. Anisotropic Herz-type Hardy spaces with variable exponent and their applications. (English) Zbl 1413.42045 Acta Math. Hung. 156, No. 2, 309-335 (2018). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B30 42B35 46E30 PDF BibTeX XML Cite \textit{H. Zhao} and \textit{J. Zhou}, Acta Math. Hung. 156, No. 2, 309--335 (2018; Zbl 1413.42045) Full Text: DOI
Liu, Jun; Yang, Dachun; Yuan, Wen Littlewood-Paley characterizations of anisotropic Hardy-Lorentz spaces. (English) Zbl 1399.42061 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 1, 1-33 (2018). MSC: 42B25 42B30 46E30 30L99 PDF BibTeX XML Cite \textit{J. Liu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 1, 1--33 (2018; Zbl 1399.42061) Full Text: DOI arXiv
Almeida, Víctor; Betancor, Jorge J.; Rodríguez-Mesa, Lourdes Anisotropic Hardy-Lorentz spaces with variable exponents. (English) Zbl 1385.42017 Can. J. Math. 69, No. 6, 1219-1273 (2017). Reviewer: Sibei Yang (Lanzhou) MSC: 42B30 42B25 42B35 PDF BibTeX XML Cite \textit{V. Almeida} et al., Can. J. Math. 69, No. 6, 1219--1273 (2017; Zbl 1385.42017) Full Text: DOI
Bekmaganbetov, Kuanysh Abdrakhmanovich; Toleugazy, Yerzhan Order of the orthoprojection widths of the anisotropic Nikol’skii-Besov classes in the anisotropic Lorentz space. (English) Zbl 07238440 Eurasian Math. J. 7, No. 3, 8-16 (2016). MSC: 41A30 42B35 PDF BibTeX XML Cite \textit{K. A. Bekmaganbetov} and \textit{Y. Toleugazy}, Eurasian Math. J. 7, No. 3, 8--16 (2016; Zbl 07238440) Full Text: DOI MNR
Kozhevnikova, L. M.; Nikitina, A. A. Qualitative properties of solutions to elliptic equations with nonpower nonlinearities in \(\mathbb R_n\). (Russian, English) Zbl 1399.35156 Sib. Zh. Chist. Prikl. Mat. 16, No. 2, 26-40 (2016); translation in J. Math. Sci., New York 228, No. 4, 395-408 (2018). MSC: 35J15 46E35 46E30 PDF BibTeX XML Cite \textit{L. M. Kozhevnikova} and \textit{A. A. Nikitina}, Sib. Zh. Chist. Prikl. Mat. 16, No. 2, 26--40 (2016; Zbl 1399.35156); translation in J. Math. Sci., New York 228, No. 4, 395--408 (2018) Full Text: DOI
Wang, Hongbin; Wu, Yihong Anisotropic Herz-Morrey spaces with variable exponents. (English) Zbl 1381.46030 Khayyam J. Math. 2, No. 2, 177-187 (2016). MSC: 46E30 42B35 42B20 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Wu}, Khayyam J. Math. 2, No. 2, 177--187 (2016; Zbl 1381.46030) Full Text: DOI
Li, Bao De; Fan, Xing Ya; Fu, Zun Wei; Yang, Da Chun Molecular characterization of anisotropic Musielak-Orlicz Hardy spaces and their applications. (English) Zbl 1359.42010 Acta Math. Sin., Engl. Ser. 32, No. 11, 1391-1414 (2016). MSC: 42B30 42B20 42B35 46E30 PDF BibTeX XML Cite \textit{B. De Li} et al., Acta Math. Sin., Engl. Ser. 32, No. 11, 1391--1414 (2016; Zbl 1359.42010) Full Text: DOI
Li, Jinxia; Sun, Ruirui; Li, Baode Anisotropic interpolation theorems of Musielak-Orlicz type. (English) Zbl 1350.42041 J. Inequal. Appl. 2016, Paper No. 243, 24 p. (2016). MSC: 42B35 46B70 46E30 42B30 42B25 PDF BibTeX XML Cite \textit{J. Li} et al., J. Inequal. Appl. 2016, Paper No. 243, 24 p. (2016; Zbl 1350.42041) Full Text: DOI
Wang, Hongbin Anisotropic Herz spaces with variable exponents. (English) Zbl 1344.46026 Commun. Math. Anal. 18, No. 2, 1-14 (2015). Reviewer: A. Turan Gürkanlı (Istanbul) MSC: 46E30 42B35 42B20 PDF BibTeX XML Cite \textit{H. Wang}, Commun. Math. Anal. 18, No. 2, 1--14 (2015; Zbl 1344.46026) Full Text: Euclid
Honda, Atsufumi; Koiso, Miyuki; Tanaka, Yasuhiro Non-convex anisotropic surface energy and zero mean curvature surfaces in the Lorentz-Minkowski space. (English) Zbl 1301.49112 J. Math-for-Ind. 5, No. A, 73-82 (2013). MSC: 49Q05 49Q10 53A10 PDF BibTeX XML Cite \textit{A. Honda} et al., J. Math-for-Ind. 5, No. A, 73--82 (2013; Zbl 1301.49112)
Dekel, Shai On the analysis of anisotropic smoothness. (English) Zbl 1261.46022 J. Approx. Theory 164, No. 8, 1143-1164 (2012). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{S. Dekel}, J. Approx. Theory 164, No. 8, 1143--1164 (2012; Zbl 1261.46022) Full Text: DOI
Bogoslovsky, George Yu. Dynamic rearrangement of vacuum and the phase transitions in the geometric structure of space-time. (English) Zbl 1254.53103 Int. J. Geom. Methods Mod. Phys. 9, No. 1, 1250007, 20 p. (2012). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 53C60 53C80 83A05 81T13 81R40 PDF BibTeX XML Cite \textit{G. Yu. Bogoslovsky}, Int. J. Geom. Methods Mod. Phys. 9, No. 1, 1250007, 20 p. (2012; Zbl 1254.53103) Full Text: DOI arXiv
Fan, Xianling Anisotropic variable exponent Sobolev spaces and \(\overrightarrow {p(x)}\)-Laplacian equations. (English) Zbl 1236.46029 Complex Var. Elliptic Equ. 56, No. 7-9, 623-642 (2011). MSC: 46E35 46E30 35J70 58E30 35J92 PDF BibTeX XML Cite \textit{X. Fan}, Complex Var. Elliptic Equ. 56, No. 7--9, 623--642 (2011; Zbl 1236.46029) Full Text: DOI
Trushin, B. V. Continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces on anisotropically irregular domains. (English. Russian original) Zbl 1246.46035 Proc. Steklov Inst. Math. 269, 265-283 (2010); translation from Trudy Mat. Inst. Steklova 269, 271-289 (2010). Reviewer: Yuri I. Karlovich (Cuernavaca) MSC: 46E35 42B35 46E30 PDF BibTeX XML Cite \textit{B. V. Trushin}, Proc. Steklov Inst. Math. 269, 265--283 (2010; Zbl 1246.46035); translation from Trudy Mat. Inst. Steklova 269, 271--289 (2010) Full Text: DOI
Akishev, G. A. The ortho-diameters of Nikol’skii and Besov classes in the Lorentz spaces. (English. Russian original) Zbl 1189.46019 Russ. Math. 53, No. 2, 21-29 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 2, 25-33 (2009). Reviewer: Bohumír Opic (Praha) MSC: 46E30 46E35 41A30 41A46 PDF BibTeX XML Cite \textit{G. A. Akishev}, Russ. Math. 53, No. 2, 21--29 (2009; Zbl 1189.46019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 2, 25--33 (2009) Full Text: DOI
Fetisov, V. G. Nonlocal solutions of systems of operator equations in spaces of measurable vector functions. (Russian) Zbl 1324.47105 Vladikavkaz. Mat. Zh. 10, No. 4, 49-60 (2008). MSC: 47J05 46E30 47H30 PDF BibTeX XML Cite \textit{V. G. Fetisov}, Vladikavkaz. Mat. Zh. 10, No. 4, 49--60 (2008; Zbl 1324.47105) Full Text: MNR
Akishev, G. A. Erratum to the paper ‘On degree of approximation of some classes by polynomials with respect to generalized Haar system’. (Russian. English summary) Zbl 1299.42092 Sib. Èlektron. Mat. Izv. 5, 383-386 (2008). MSC: 42C10 41A05 41A25 PDF BibTeX XML Cite \textit{G. A. Akishev}, Sib. Èlektron. Mat. Izv. 5, 383--386 (2008; Zbl 1299.42092) Full Text: Link
Bekmaganbetov, K. A.; Nursultanov, E. D. On interpolation and embedding theorems for the spaces \(\overset\ast{\mathfrak B}^{\sigma q}_{p\tau}(\Omega)\). (English. Russian original) Zbl 1219.46069 Math. Notes 84, No. 5, 733-736 (2008); translation from Mat. Zametki 84, No. 5, 788-790 (2008). MSC: 46M35 46B70 46E30 PDF BibTeX XML Cite \textit{K. A. Bekmaganbetov} and \textit{E. D. Nursultanov}, Math. Notes 84, No. 5, 733--736 (2008; Zbl 1219.46069); translation from Mat. Zametki 84, No. 5, 788--790 (2008) Full Text: DOI
Pêrez, F. J. Embedding theorems for anisotropic Lipschitz spaces. (English) Zbl 1079.46025 Stud. Math. 168, No. 1, 51-72 (2005). Reviewer: Alexei Yu. Karlovich (Braga) MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{F. J. Pêrez}, Stud. Math. 168, No. 1, 51--72 (2005; Zbl 1079.46025) Full Text: DOI
Berezhnoj, E. I. A correction theorem for anisotropic spaces. (English. Russian original) Zbl 1028.46040 Math. Notes 70, No. 3, 291-299 (2001); translation from Mat. Zametki 70, No. 3, 323-333 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 46E30 41A65 PDF BibTeX XML Cite \textit{E. I. Berezhnoj}, Math. Notes 70, No. 3, 291--299 (2001; Zbl 1028.46040); translation from Mat. Zametki 70, No. 3, 323--333 (2001) Full Text: DOI
Alborova, M. S. A density theorem. (Russian) Zbl 1021.46025 Vladikavkaz. Mat. Zh. 3, No. 3, 3-7 (2001). Reviewer: V.Grebenev (Novosibirsk) MSC: 46E35 46E15 46E30 PDF BibTeX XML Cite \textit{M. S. Alborova}, Vladikavkaz. Mat. Zh. 3, No. 3, 3--7 (2001; Zbl 1021.46025) Full Text: Link EuDML
Fefelov, D. V. Some properties of functions of a class of weighted Sobolev spaces. (English. Russian original) Zbl 0936.46024 Sib. Math. J. 40, No. 5, 1004-1016 (1999); translation from Sib. Mat. Zh. 40, No. 5, 1182-1194 (1999). Reviewer: S.G.Pyatkov (Novosibirsk) MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{D. V. Fefelov}, Sib. Math. J. 40, No. 5, 1182--1194 (1999; Zbl 0936.46024); translation from Sib. Mat. Zh. 40, No. 5, 1182--1194 (1999) Full Text: DOI
Kolyada, V. I. On an embedding of Sobolev spaces. (English. Russian original) Zbl 0821.46043 Math. Notes 54, No. 3, 908-922 (1993); translation from Mat. Zametki 54, No. 3, 48-71 (1993). Reviewer: A.Kufner MSC: 46E35 PDF BibTeX XML Cite \textit{V. I. Kolyada}, Math. Notes 54, No. 3, 908--922 (1993; Zbl 0821.46043); translation from Mat. Zametki 54, No. 3, 48--71 (1993) Full Text: DOI
Jiang, Ming Some results on embedding spaces of Sobolev type into Lorentz spaces. (English) Zbl 0818.46029 J. Beijing Inst. Technol., Engl. Ed. 2, No. 2, 103-108 (1993). MSC: 46E30 46E35 PDF BibTeX XML Cite \textit{M. Jiang}, J. Beijing Inst. Technol., Engl. Ed. 2, No. 2, 103--108 (1993; Zbl 0818.46029)
Rozenfel’d, E. A. On sharp condition for imbedding anisotropic Sobolev-Orlicz spaces in a space of continuous functions. (English. Russian original) Zbl 0799.46044 Math. Notes 52, No. 2, 826-832 (1992); translation from Mat. Zametki 52, No. 2, 101-110 (1992). Reviewer: V.Ďurikovič (Bratislava) MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{E. A. Rozenfel'd}, Math. Notes 52, No. 2, 826--832 (1992; Zbl 0799.46044); translation from Mat. Zametki 52, No. 2, 101--110 (1992) Full Text: DOI
Strel’tsov, V. N. Anisotropic space-time. (English) Zbl 0721.53030 Hadronic J. 13, No. 4, 299-316 (1990). Reviewer: G.Pripoae (Bucureşti) MSC: 53B30 83A05 53B50 PDF BibTeX XML Cite \textit{V. N. Strel'tsov}, Hadronic J. 13, No. 4, 299--316 (1990; Zbl 0721.53030)
Coley, A. A.; Tupper, B. O. J. Space-times admitting special affine conformal vectors. (English) Zbl 0709.53014 J. Math. Phys. 31, No. 3, 649-652 (1990). Reviewer: K.L.Duggal MSC: 53B30 83C20 PDF BibTeX XML Cite \textit{A. A. Coley} and \textit{B. O. J. Tupper}, J. Math. Phys. 31, No. 3, 649--652 (1990; Zbl 0709.53014) Full Text: DOI
Nikol’skij, Yu. S. Integral estimates of differentiable functions in weighted anisotropic spaces on unbounded domains. (English. Russian original) Zbl 0693.46034 Proc. Steklov Inst. Math. 181, 243-263 (1989); translation from Tr. Mat. Inst. Steklova 181, 222-240 (1988). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{Yu. S. Nikol'skij}, Proc. Steklov Inst. Math. 181, 243--263 (1989; Zbl 0693.46034); translation from Tr. Mat. Inst. Steklova 181, 222--240 (1988)
Bagdasaryan, A. G. On the interpolation and on the traces of functions from certain anisotropic functional spaces. (English. Russian original) Zbl 0713.46049 Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 23, No. 4, 54-68 (1988); translation from Izv. Akad. Nauk Arm. SSR, Mat. 23, No. 4, 353-365 (1988). MSC: 46M35 46E35 46E30 PDF BibTeX XML Cite \textit{A. G. Bagdasaryan}, Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 23, No. 4, 54--68 (1988; Zbl 0713.46049); translation from Izv. Akad. Nauk Arm. SSR, Mat. 23, No. 4, 353--365 (1988)
Bagdasaryan, A. G. On interpolation and on traces of functions of some anisotropic functional spaces. (Russian. English summary) Zbl 0674.46045 Izv. Akad. Nauk Arm. SSR, Mat. 23, No. 4, 353-365 (1988). Reviewer: A.Bukhvalov MSC: 46M35 46E35 46E30 PDF BibTeX XML Cite \textit{A. G. Bagdasaryan}, Izv. Akad. Nauk Arm. SSR, Mat. 23, No. 4, 353--365 (1988; Zbl 0674.46045)
Nikol’skij, Yu. S. Integral estimates of differentiable functions from anisotropic weight spaces on unbounded domains. (Russian) Zbl 0666.46033 Tr. Mat. Inst. Steklova 181, 222-240 (1988). Reviewer: M.Ostrovskij MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{Yu. S. Nikol'skij}, Tr. Mat. Inst. Steklova 181, 222--240 (1988; Zbl 0666.46033)
Davtyan, A. A. Spaces of anisotropic potentials. Applications. (English. Russian original) Zbl 0632.46022 Proc. Steklov Inst. Math. 173, 119-131 (1987); translation from Tr. Mat. Inst. Steklova 173, 113-124 (1986). Reviewer: A.Smajdor MSC: 46E30 46E35 47Gxx PDF BibTeX XML Cite \textit{A. A. Davtyan}, Proc. Steklov Inst. Math. 173, 119--131 (1987; Zbl 0632.46022); translation from Tr. Mat. Inst. Steklova 173, 113--124 (1986)
Kokilashvili, V. M.; Krbets, M. On boundedness of anisotropic fractional maximal functions and potentials in weighted Orlicz spaces. (Russian) Zbl 0626.46019 Tr. Tbilis. Mat. Inst. Razmadze 82, 106-115 (1986). Reviewer: J.Musielak MSC: 46E30 46E35 PDF BibTeX XML Cite \textit{V. M. Kokilashvili} and \textit{M. Krbets}, Proc. A. Razmadze Math. Inst. 82, 106--115 (1986; Zbl 0626.46019)
Berkolajko, M. Z. Trace theorems on coordinate subspaces for some spaces of differentiable functions with anisotropic mixed norm. (English. Russian original) Zbl 0602.46027 Sov. Math., Dokl. 31, 540-544 (1985); translation from Dokl. Akad. Nauk SSSR 282, 1042-1046 (1985). Reviewer: P.Kruszyński MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{M. Z. Berkolajko}, Sov. Math., Dokl. 31, 540--544 (1985; Zbl 0602.46027); translation from Dokl. Akad. Nauk SSSR 282, 1042--1046 (1985)
Gol’dman, M. L. On imbedding a Lipschitz space in a symmetric space. (English. Russian original) Zbl 0595.46033 Sov. Math., Dokl. 32, 417-421 (1985); translation from Dokl. Akad. Nauk SSSR 284, 283-287 (1985). Reviewer: J.Daneš MSC: 46E35 46E30 26A16 PDF BibTeX XML Cite \textit{M. L. Gol'dman}, Sov. Math., Dokl. 32, 417--421 (1985; Zbl 0595.46033); translation from Dokl. Akad. Nauk SSSR 284, 283--287 (1985)
Smailov, E. S. (ed.) Current questions of function theory and of functional analysis. Collection of scientific works. (Sovremennye voprosy teorii funktsii i funktsional’nogo analiza. Sbornik nauchnyk trudov). (Russian) Zbl 0659.46001 Karaganda: Karagandinskij Gosudarstvennyj Universitet. 129 p. R. 1.20 (1984). MSC: 46-06 00Bxx 42-06 47-06 46E30 46E35 PDF BibTeX XML
Gol’dman, M. L. On imbedding Nikol’skij-Besov spaces with moduli of continuity of general form into Lorentz spaces. (English. Russian original) Zbl 0598.46023 Sov. Math., Dokl. 30, 11-16 (1984); translation from Dokl. Akad. Nauk SSSR 277, 20-24 (1984). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{M. L. Gol'dman}, Sov. Math., Dokl. 30, 11--16 (1984; Zbl 0598.46023); translation from Dokl. Akad. Nauk SSSR 277, 20--24 (1984)
Đinh Dung; Magaril-Ilyaev, G. G. Problems of Bernstein and Favard type and the mean \(\varepsilon\)-dimension of some classes of functions. (English. Russian original) Zbl 0459.46028 Sov. Math., Dokl. 20, 1345-1348 (1979); translation from Dokl. Akad. Nauk SSSR 249, 783-786 (1979). Reviewer: Vadim A. Tkachenko MSC: 46F10 46G05 46E30 90C05 46F12 41A50 PDF BibTeX XML Cite \textit{Đinh Dung} and \textit{G. G. Magaril-Ilyaev}, Sov. Math., Dokl. 20, 1345--1348 (1979; Zbl 0459.46028); translation from Dokl. Akad. Nauk SSSR 249, 783--786 (1979)
Stöckert, Bernd Multiplikatoren in gewichteten anisotropen L(p,Omega)-Räumen ganzer analytischer Funktionen exponentiellen Typs. (German) Zbl 0412.46022 Math. Nachr. 86, 33-40 (1978). MSC: 46E30 42A45 PDF BibTeX XML Cite \textit{B. Stöckert}, Math. Nachr. 86, 33--40 (1978; Zbl 0412.46022) Full Text: DOI