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

Wen Yuan, Yufeng Lu, Dachun Yang (2015)

Studia Mathematica

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.

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