Morrey capacity and vanishing integrability for Riesz potentials in Morrey–Orlicz spaces
In this paper, we discuss vanishing Sobolev integrability and Trudinger exponential integrability for Riesz potentials of functions in Morrey–Orlicz spaces. The exceptional set is estimated by a suitable capacity, which is referred to as a Morrey–Orlicz capacity.
Authors
- Tetsu Shimomura
- Yoshihiro Mizuta (ORCID: https://orcid.org/0000-0003-4260-6177)
Institutions
- Hiroshima University (JP)
Publication Details
- Journal
- Illinois Journal of Mathematics
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1215/00192082-11621742
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00