Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent

Title:

Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent

Creator:

Cheung, Ka Luen and Ho, Kwok-Pun

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d924b80b-b8b0-45ba-8cbe-fe71ad00eab9
uuid:d924b80b-b8b0-45ba-8cbe-fe71ad00eab9

Subject:

block space, variable exponent analysis, and Hardy-Littlewood maximal operator

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The family of block spaces with variable exponents is introduced. We obtain some fundamental properties of the family of block spaces with variable exponents. They are Banach lattices and they are generalizations of the Lebesgue spaces with variable exponents. Moreover, the block space with variable exponents is a pre-dual of the corresponding Morrey space with variable exponents. The main result of this paper is on the boundedness of the Hardy-Littlewood maximal operator on the block space with variable exponents. We find that the Hardy-Littlewood maximal operator is bounded on the block space with variable exponents whenever the Hardy-Littlewood maximal operator is bounded on the corresponding Lebesgue space with variable exponents.

Language:

English

Rights:

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

Coverage:

159-171

Source:

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

Harvested from:

CDK

Metadata only:

false