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- Title
A new perspective on the Riesz potential.
- Authors
Xiao, Jie
- Abstract
This paper offers a new perspective to look at the Riesz potential. On the one hand, it is shown that not only contains under the conditions , , , , but also exists as an associate space under the condition , where and are the Morrey-Sobolev and Campanato spaces on respectively. On the other hand, a nonnegative Radon measure μ is completely characterized to produce a continuous map under the condition or , where and are the -Lorentz and -Lebesgue spaces on respectively.
- Subjects
RIESZ spaces; LATTICE theory; ABSTRACT algebra; RADON measures; MEASURE theory
- Publication
Advances in Nonlinear Analysis, 2017, Vol 6, Issue 3, p317
- ISSN
2191-9496
- Publication type
Article
- DOI
10.1515/anona-2015-0183