학술논문

Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form
Document Type
Original Paper
Source
Czechoslovak Mathematical Journal. 73(1):263-276
Subject
Riesz potential
Sobolev’s inequality
Orlicz-Morrey space
metric measure space
non-doubling measure
46E35
46E30
Language
English
ISSN
0011-4642
1572-9141
Abstract
Our aim is to give Sobolev-type inequalities for Riesz potentials of functions in Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces as an extension of T. Ohno, T. Shimomura (2022). Our results are new even for the doubling metric measure spaces.