Singularities in Muckenhoupt weighted function spaces
Volume 79 / 2008
Banach Center Publications 79 (2008), 95-112
MSC: Primary 46E35; Secondary 42B35.
DOI: 10.4064/bc79-0-7
Abstract
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.