Wavelet bases and entropy numbers in weighted function spaces.

by    D.D. Haroske, H. Triebel

Preprint series: 04-16, Analysis

The paper is published: Jenaer Schriften zur Mathematik und Informatik, Math/Inf/01/04, 2004 / Math. Nachr., 108-132, 278(1-2), 2005

46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
42C40 Wavelets
42B35 Function spaces arising in harmonic analysis
47B06 Riesz operators; eigenvalue distributions; approximation numbers, $s$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators

Abstract: The aim of this paper is twofold. First we prove that inhomogeneous wavelets of Daubechies type are unconditional
Schauder bases in weighted function spaces of $B^s_{pq}$ and $F^s_{pq}$ type. Secondly we use these results to estimate entropy numbers of compact embeddings between these spaces.

Keywords: Wavelet bases, weighted function spaces, entropy numbers

Upload: 2004-01-28

Update: 2005 -11 -22

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