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Singularities in Muckenhoupt weighted function spaces. (English) Zbl 1144.46030

Hudzik, Henryk (ed.) et al., Function spaces VIII. Proceedings of the 8th conference on function spaces, Bȩdlewo, Poland, July 3–7, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 79, 95-112 (2008).
Summary: We study weighted function spaces of Lebesgue, Besov and Triebel-Lizorkin type where the weight function belongs to some Muckenhoupt \({\mathcal A}_p\) class. The singularities of functions in these spaces are characterised by means of envelope functions.
For the entire collection see [Zbl 1135.30004].

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
42B35 Function spaces arising in harmonic analysis
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