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Spaces of Differentiable Functions

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Function Spaces, Differential Operators and Nonlinear Analysis

Abstract

A brilliant exposition of numerous aspects of the theory of function spaces (embeddings and equivalent norms, description in terms of smoothness properties; decompositions and approximations; interpolation via real and complex methods; trace problems; extension operators for regular and irregular domains; applications to PDO and ΨDO etc.) is given in the series of famous books [T-78], [T-83], [T-92], [T-01] by Professor Hans Triebel. Some other approaches one may find in fundamental monographs [S-88], [75], [S-70], [M-85], [dVLo-93],[BIN-96] and survey papers [KL-78],BKuLN-90] where the detailed references are given.

Article Footnote

1This work was supported by grants of RFBR-99-01-00868, LSSRF-00-15-96047 and INTAS-99-01080

2This work was supported by the grant of RFBR-99-00868

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Author information

Authors and Affiliations

  1. Function Theory Department, Steklov Institute of Mathematics, Gubkina 8, GSP-1 Moscow, 117966, Russia

    Oleg V. Besov

  2. Chair of Mathematics and Natural Sciences, Samara Academy of Humanities, 8 Radialnaya 31, Samara, 443011, Russia

    Gennadiy A. Kalyabin

Authors
  1. Oleg V. Besov
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  2. Gennadiy A. Kalyabin
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Editors and Affiliations

  1. Institute of Mathematics, Friedrich-Schiller-University, Jena, 07740, Germany

    Dorothee Haroske , Thomas Runst  & Hans-Jürgen Schmeisser ,  & 

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Besov, O.V., Kalyabin, G.A. (2003). Spaces of Differentiable Functions. In: Haroske, D., Runst, T., Schmeisser, HJ. (eds) Function Spaces, Differential Operators and Nonlinear Analysis. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8035-0_1

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  • DOI: https://doi.org/10.1007/978-3-0348-8035-0_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9414-2

  • Online ISBN: 978-3-0348-8035-0

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