In this article, via fractional Hajłasz gradients, the authors introduce a class of fractional Hajłasz-Morrey-Sobolev spaces, and investigate the relations among these spaces, (grand) Morrey-Triebel-Lizorkin spaces and Triebel-Lizorkin-type spaces on both Euclidean spaces and RD-spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm226-2-1, author = {Wen Yuan and Yufeng Lu and Dachun Yang}, title = {Fractional Haj\l asz-Morrey-Sobolev spaces on quasi-metric measure spaces}, journal = {Studia Mathematica}, volume = {231}, year = {2015}, pages = {95-122}, zbl = {06438025}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm226-2-1} }
Wen Yuan; Yufeng Lu; Dachun Yang. Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces. Studia Mathematica, Tome 231 (2015) pp. 95-122. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm226-2-1/