Characterisation of function spaces with dominating mixed smoothness properties

by    J. Vybiral

Preprint series: 03-13, Reports on Analysis

J. Vybiral

MSC:
42C15 Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions
46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

Abstract: We investigate function spaces with dominating mixed smoothness properties of Besov and Triebel-Lizorkin type. Equivalent quasi-norms in terms of local means are derived. Also theorems on atomic and subatomic decomposition are proved.

Keywords: function spaces, dominating mixex smootness, local means, atomic decompositions, subatomic decompositions

Upload: 2003-10-23


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