Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces

Title:

Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces

Creator:

Ohno, Takao and Shimomura, Tetsu

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:471aae93-ca22-45e9-9ff1-f37178e19f27
uuid:471aae93-ca22-45e9-9ff1-f37178e19f27

Subject:

grand Morrey space, variable exponent, non-doubling measure, metric measure space, Riesz potential, maximal operator, Sobolev's inequality, Trudinger's exponential inequality, and continuity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Our aim in this paper is to deal with the boundedness of the Hardy-Littlewood maximal operator on grand Morrey spaces of variable exponents over non-doubling measure spaces. As an application of the boundedness of the maximal operator, we establish Sobolev's inequality for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces. We are also concerned with Trudinger's inequality and the continuity for Riesz potentials.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

209-228

Source:

Czechoslovak Mathematical Journal | 2014 Volume:64 | Number:1

Harvested from:

CDK

Metadata only:

false