Trudinger’s inequalities for Riesz potentials in Morrey spaces of double phase functionals on half spaces

Our aim in this paper is to establish Trudinger’s exponential integrability for Riesz potentials in weighted Morrey spaces on the half space. As an application, we obtain Trudinger’s inequality for Riesz potentials in the framework of double phase functionals.

Saved in:
Bibliographic Details
Published in:Canadian mathematical bulletin 2021-12, Vol.65 (4), p.924-935
Main Authors: Mizuta, Yoshihiro, Shimomura, Tetsu
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Our aim in this paper is to establish Trudinger’s exponential integrability for Riesz potentials in weighted Morrey spaces on the half space. As an application, we obtain Trudinger’s inequality for Riesz potentials in the framework of double phase functionals.
ISSN:0008-4395
1496-4287
DOI:10.4153/S0008439521001041