Sobolev’s inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces

Journal of inequalities and applications

Yoshihiro Sawano¹ 

关键词: Riesz potentials;    Sobolev’s inequality;    Morrey spaces of variable exponents;    non-doubling measure;   

DOI  :  10.1186/1029-242X-2013-12

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Our aim in this paper is to give Sobolev’s inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces. The main result is oriented to the outrange of the well-known Adams theorem. MSC: 31B15, 46E35, 26A33.

【 授权许可】

CC BY