Abstract
A Sobolev type embedding for Triebel-Lizorkin-Morrey-Lorentz spaces is established in this paper. As an application of this result, the boundedness of the fractional integral operator on some generalizations of Hardy spaces such as Hardy-Morrey spaces and Hardy-Lorentz spaces are obtained. Copyright © 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
| Original language | English |
|---|---|
| Pages (from-to) | 1674-1686 |
| Journal | Mathematische Nachrichten |
| Volume | 287 |
| Issue number | 14-15 |
| DOIs | |
| Publication status | Published - Mar 2014 |
Citation
Ho, K.-P. (2014). Sobolev-Jawerth embedding of Triebel-Lizorkin-Morrey-Lorentz spaces and fractional integral operator on Hardy type spaces. Mathematische Nachrichten, 287(14-15), 1674-1686.Keywords
- Sobolev embedding
- Fractional integral operator
- Triebel-Lizorkin spaces
- Morrey spaces
- Lorentz spaces
- Hardy-Morrey spaces