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Found 110 Documents (Results 1–100)

Existence of a renormalized solution of a parabolic problem in anisotropic Sobolev-Orlicz spaces. (English. Russian original) Zbl 1473.35333

J. Math. Sci., New York 258, No. 1, 37-64 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 39-64 (2019).
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Fredholm equations with multi-dimensional partial integrals in anisotropic Lebesgue spaces. (English. Russian original) Zbl 1495.47071

J. Math. Sci., New York 255, No. 6, 715-725 (2021); translation from Probl. Mat. Anal. 110, 35-44 (2021).
MSC:  47G10 45B05 46E30
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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
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Order of approximation of Besov classes in the metric of anisotropic Lorentz spaces. (English) Zbl 1342.42002

Ruzhansky, Michael (ed.) et al., Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section “Approximation theory and Fourier analysis”, Crakow, Poland, August 5–9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4–8, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-27465-2/hbk; 978-3-319-27466-9/ebook). Applied and Numerical Harmonic Analysis, 149-159 (2016).
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Partial differential equations with variable exponents. Variational methods and qualitative analysis. (English) Zbl 1343.35003

Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4987-0341-3/hbk; 978-1-4987-0344-4/ebook). xxi, 301 p. (2015).
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Paley inequality for Bellman transform of multiple Fourier series. (English. Russian original) Zbl 1311.42018

Mosc. Univ. Math. Bull. 69, No. 3, 94-99 (2014); translation from Vestn. Mosk. Univ., Ser I 69, No. 3, 8-14 (2014).
MSC:  42B08 42B05 46E30
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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).
MSC:  46E35 42B35 46E30
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Anisotropic function spaces with applications. (English) Zbl 1196.46019

DeVore, Ronald (ed.) et al., Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Berlin: Springer (ISBN 978-3-642-03412-1/hbk; 978-3-642-03413-8/ebook). 137-167 (2009).
MSC:  46E30 46E35 46-02
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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).
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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
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The description of functions from anisotropic spaces of complex order and its application. (English. Russian original) Zbl 0907.46023

Dokl. Math. 54, No. 3, 821-823 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 1, 13-15 (1996).
Reviewer: S.G.Samko (Faro)
MSC:  46E30 46E35
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Bases of splashes and linear operators in anisotropic Lizorkin-Triebel spaces. (English. Russian original) Zbl 0909.35161

Mishchenko, E. F. (ed.) et al., The theory of functions and differential equations. Collected papers. In honor of the ninetieth birthday of Academician Sergej Mikhailovich Nikol’skij. Birmingham, AL: MAIK Nauka/Interperiodica Publishing, Proc. Steklov Inst. Math. 210, 2-21 (1995); translation from Tr. Mat. Inst. Steklova 210, 5-30 (1995).
Reviewer: L.Rodino (Torino)
MSC:  35S05 46E30
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Unconditional bases in spaces of functions of anisotropic smoothness. (English. Russian original) Zbl 0852.46031

Proc. Steklov Inst. Math. 204, 27-41 (1994); translation from Tr. Mat. Inst. Steklova 204, 35-51 (1993).
Reviewer: H.Triebel (Jena)
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On inequalities of Hardy type and their applications in the theory of quasielliptic equations. (English. Russian original) Zbl 0845.26007

Russ. Acad. Sci., Dokl., Math. 47, No. 3, 558-562 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 5, 542-545 (1993).
Reviewer: B.Opic (Praha)
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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
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