Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces

Wen Yuan, Yufeng Lu, and Dachun Yang. "Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces." Studia Mathematica 226.2 (2015): 95-122. <http://eudml.org/doc/285920>.

@article{WenYuan2015,
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.},
author = {Wen Yuan, Yufeng Lu, Dachun Yang},
journal = {Studia Mathematica},
keywords = {Sobolev space; Morrey space; Morrey-Sobolev space; Hajłasz gradient; space of homogeneous type; maximal operator},
language = {eng},
number = {2},
pages = {95-122},
title = {Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces},
url = {http://eudml.org/doc/285920},
volume = {226},
year = {2015},
}

TY - JOUR
AU - Wen Yuan
AU - Yufeng Lu
AU - Dachun Yang
TI - Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces
JO - Studia Mathematica
PY - 2015
VL - 226
IS - 2
SP - 95
EP - 122
AB - 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.
LA - eng
KW - Sobolev space; Morrey space; Morrey-Sobolev space; Hajłasz gradient; space of homogeneous type; maximal operator
UR - http://eudml.org/doc/285920
ER -