Fractional Hajłasz–Morrey–Sobolev spaces on quasi-metric measure spaces
Volume 226 / 2015
Studia Mathematica 226 (2015), 95-122
MSC: Primary 46E35; Secondary 42B25, 42B35, 30L99.
DOI: 10.4064/sm226-2-1
Abstract
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.
