Geodesic
Fractional Hajłasz–Morrey–Sobolev spaces on quasi-metric measure spaces
Wen Yuan 1   ; Yufeng Lu 2   ; Dachun Yang 2
1 School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875, People's Republic of China and Mathematisches Institut Friedrich-Schiller-Universität Jena D-07743 Jena, Germany
2 School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875, People's Republic of China
Studia Mathematica, Tome 226 (2015) no. 2, pp. 95-122 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm226-2-1
Keywords: article via fractional haj asz gradients authors introduce class fractional haj asz morrey sobolev spaces investigate relations among these spaces grand morrey triebel lizorkin spaces triebel lizorkin type spaces euclidean spaces rd spaces

Wen Yuan  1   ; Yufeng Lu  2   ; Dachun Yang  2

1 School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875, People's Republic of China and Mathematisches Institut Friedrich-Schiller-Universität Jena D-07743 Jena, Germany
2 School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875, People's Republic of China 
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     title = {Fractional {Haj{\l}asz{\textendash}Morrey{\textendash}Sobolev} spaces on quasi-metric measure spaces},
     journal = {Studia Mathematica},
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     year = {2015},
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Wen Yuan; Yufeng Lu; Dachun Yang. Fractional Hajłasz–Morrey–Sobolev spaces on quasi-metric measure spaces. Studia Mathematica, Tome 226 (2015) no. 2, pp. 95-122. doi: 10.4064/sm226-2-1

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