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Trudy Mat. Inst. Steklova, 1999, Volume 227, Pages 56–74
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This article is cited in 17 scientific papers (total in 17 papers)
On Spaces of Functions of Variable Smoothness Defined by Pseudodifferential Operators
O. V. Besov
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Proceedings of the Steklov Institute of Mathematics, 1999, 227, 50–69
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UDC:
517
Received in January 1999
Citation:
O. V. Besov, “On Spaces of Functions of Variable Smoothness Defined by Pseudodifferential Operators”, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Collection of papers, Trudy Mat. Inst. Steklova, 227, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 56–74; Proc. Steklov Inst. Math., 227 (1999), 50–69
Citation in format AMSBIB
\Bibitem{Bes99}
\by O.~V.~Besov
\paper On Spaces of Functions of Variable Smoothness Defined by Pseudodifferential Operators
\inbook Investigations in the theory of differentiable functions of many variables and its applications. Part~18
\bookinfo Collection of papers
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 227
\pages 56--74
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm545}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1784305}
\zmath{https://zbmath.org/?q=an:0978.46018}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 227
\pages 50--69
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This publication is cited in the following articles:
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“The List of Scientific Works of O. V. Besov”, Proc. Steklov Inst. Math., 243 (2003), 7–10
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O. V. Besov, “Equivalent Normings of Spaces of Functions of Variable Smoothness”, Proc. Steklov Inst. Math., 243 (2003), 80–88
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Besov O.V., “Equivalent normings of spaces of functions of variable smoothness”, Doklady Mathematics, 68:1 (2003), 99–102
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Besov O., Kalyabin G., “Spaces of differentiable functions”, Function Spaces, Differential Operators and Nonlinear Analysis: the Hans Triebel Anniversary Volume, 2003, 3–21
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O. V. Besov, “Interpolation, Embedding, and Extension of Spaces of Functions of Variable Smoothness”, Proc. Steklov Inst. Math., 248 (2005), 47–58
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Besov O.V., “On the interpolation, embedding, and extension of spaces of functions of variable smoothness”, Doklady Mathematics, 71:2 (2005), 163–167
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Diening, L, “Function spaces of variable smoothness and integrability”, Journal of Functional Analysis, 256:6 (2009), 1731
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Almeida A., Hasto P., “Besov spaces with variable smoothness and integrability”, Journal of Functional Analysis, 258:5 (2010), 1628–1655
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Drihem D., “Atomic Decomposition of Besov Spaces with Variable Smoothness and Integrability”, J. Math. Anal. Appl., 389:1 (2012), 15–31
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Yang D. Zhuo C. Yuan W., “Besov-Type Spaces With Variable Smoothness and Integrability”, J. Funct. Anal., 269:6 (2015), 1840–1898
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Yang D., Zhuo C., Yuan W., “Triebel-Lizorkin Type Spaces With Variable Exponents”, Banach J. Math. Anal., 9:4 (2015), 146–202
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Kryakvin V., Rabinovich V., “Pseudodifferential Operators in Weighted Holder-Zygmund Spaces of Variable Smoothness”, Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics: the Albrecht Bottcher Anniversary Volume, Operator Theory Advances and Applications, 259, eds. Bini D., Ehrhardt T., Karlovich A., Spitkovsky I., Springer International Publishing Ag, 2017, 511–531
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Kryakvin V., Omarova G., “Spectral Invariance For Pseudodifferential Operators in Holder-Zygmund Spaces of the Variable Smoothness”, J. Pseudo-Differ. Oper. Appl., 9:1 (2018), 95–104
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V. D. Kryakvin, V. S. Rabinovich, “Pseudodifferential Operators on Besov Spaces of Variable Smoothness”, Math. Notes, 104:4 (2018), 545–558
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Fang J. Zhao J., “Triebel-Lizorkin Spaces With Variable Smoothness and Integrability on Lie Groups of Polynomial Growth”, J. Pseudo-Differ. Oper. Appl., 9:4 (2018), 891–902
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Fang J. Zhao J., “Besov Spaces With Variable Smoothness and Integrability on Lie Groups of Polynomial Growth”, J. Pseudo-Differ. Oper. Appl., 10:3 (2019), 581–599
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Drihem D., “On the Duality of Variable Triebel-Lizorkin Spaces”, Collect. Math., 71:2 (2020), 263–278
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