We study weighted function spaces of Lebesgue, Besov and Triebel-Lizorkin type where the weight function belongs to some Muckenhoupt class. The singularities of functions in these spaces are characterised by means of envelope functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-7,
author = {Dorothee D. Haroske},
title = {Singularities in Muckenhoupt weighted function spaces},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {95-112},
zbl = {1144.46030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-7}
}
Dorothee D. Haroske. Singularities in Muckenhoupt weighted function spaces. Banach Center Publications, Tome 83 (2008) pp. 95-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-7/