Abstract
Rychkov defined weighted Besov spaces and weighted Triebel-Lizorkin spaces coming with a weight in the class Aploc, which is even wider than the class Ap due to Muckenhoupt. In the present paper we are concerned with the atomic decomposition of these spaces. As an application, we obtain some key theorems in the theory of function spaces. Finally we conclude this paper with some helpful examples showing the difference between weighted spaces and unweighted spaces.
Original language | English |
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Pages (from-to) | 103-126 |
Number of pages | 24 |
Journal | Mathematische Nachrichten |
Volume | 285 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2012 |
Keywords
- Atom
- Besov space
- Decomposition of functions
- Triebel-Lizorkin space
- Weights
ASJC Scopus subject areas
- Mathematics(all)