Spaces of Differentiable Functions

Oleg V. Besov () and Gennadiy A. Kalyabin ()
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Oleg V. Besov: Steklov Institute of Mathematics, Function Theory Department
Gennadiy A. Kalyabin: Samara Academy of Humanities, Chair of Mathematics and Natural Sciences

A chapter in Function Spaces, Differential Operators and Nonlinear Analysis, 2003, pp 3-21 from Springer

Abstract: 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.

Keywords: Sobolev Space; Function Space; Differentiable Function; Pseudodifferential Operator; Extension Operator (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-0348-8035-0_1

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