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Spaces of Differentiable Functions

In: Function Spaces, Differential Operators and Nonlinear Analysis

Author

Listed:
  • Oleg V. Besov

    (Steklov Institute of Mathematics, Function Theory Department)

  • Gennadiy A. Kalyabin

    (Samara Academy of Humanities, Chair of Mathematics and Natural Sciences)

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.

Suggested Citation

  • Oleg V. Besov & Gennadiy A. Kalyabin, 2003. "Spaces of Differentiable Functions," Springer Books, in: Dorothee Haroske & Thomas Runst & Hans-Jürgen Schmeisser (ed.), Function Spaces, Differential Operators and Nonlinear Analysis, pages 3-21, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-8035-0_1
    DOI: 10.1007/978-3-0348-8035-0_1
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