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/