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

• Autorzy: Wen Yuan , Yufeng Lu , Dachun Yang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 42B25: Maximal functions, Littlewood-Paley theory
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 30L99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 226
• Numer: 2
• Strony: 95-122

Daty

wydano

2015

Twórcy

autor

Wen Yuan

• School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China
• Mathematisches Institut, Friedrich-Schiller-Universität Jena, D-07743 Jena, Germany

autor

Yufeng Lu

• School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China

autor

Dachun Yang

• School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China

Identyfikatory

DOI

10.4064/sm226-2-1