We study continuity envelopes of function spaces and where the weight belongs to the Muckenhoupt class ₁. This essentially extends partial forerunners in [13, 14]. We also indicate some applications of these results.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-8, author = {Dorothee D. Haroske}, title = {Lipschitz continuity in Muckenhoupt A1 weighted function spaces}, journal = {Banach Center Publications}, volume = {95}, year = {2011}, pages = {107-129}, zbl = {1239.46029}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-8} }
Dorothee D. Haroske. Lipschitz continuity in Muckenhoupt 𝓐₁ weighted function spaces. Banach Center Publications, Tome 95 (2011) pp. 107-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-8/