منابع مشابه
Function Spaces of Variable Smoothness and Integrability
A. In this article we introduce Triebel–Lizorkin spaces with variable smoothness and integrability. Our new scale covers spaces with variable exponent as well as spaces of variable smoothness that have been studied in recent years. Vector-valued maximal inequalities do not work in the generality which we pursue, and an alternate approach is thus developed. Applying it, we give molecular ...
متن کاملFunction spaces with dominating mixed smoothness
Acknowledgements I would like to express my deepest appreciation to my supervisors Professor Hans-Jürgen Schmeisser and Professor Winfried Sickel for their support and many hints and comments. I thank also Professor Hans Triebel for many valuable discussions on the topic of this work.
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولContinuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
We study continuity envelopes in spaces of generalised smoothness B ðs;CÞ pq and F ðs;CÞ pq and give some new characterisations for spaces B ðs;CÞ pq : The results are applied to obtain sharp asymptotic estimates for approximation numbers of compact embeddings of type id : B ðs1;CÞ pq ðUÞ-B2 NNðUÞ; where pos1 s2op þ 1 and U stands for the unit ball in R: In case of entropy numbers we can prove ...
متن کاملShearlet Smoothness Spaces
The shearlet representation has gained increasingly more prominence in recent years as a flexible mathematical framework which enables the efficient analysis of anisotropic phenomena by combining multiscale analysis with the ability to handle directional information. In this paper, we introduce a class of shearlet smoothness spaces which is derived from the theory of decomposition spaces recent...
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ژورنال
عنوان ژورنال: Dissertationes Mathematicae
سال: 2001
ISSN: 0012-3862,1730-6310
DOI: 10.4064/dm398-0-1