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Wavelet bases and entropy numbers in weighted function spaces
Author(s) -
Haroske Dorothee D.,
Triebel Hans
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200410229
Subject(s) - mathematics , wavelet , pure mathematics , entropy (arrow of time) , type (biology) , discrete mathematics , artificial intelligence , thermodynamics , computer science , ecology , physics , biology
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. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)