Boundedness of some sublinear operators and commutators on Morrey-Herz spaces with variable exponents

Title:

Boundedness of some sublinear operators and commutators on Morrey-Herz spaces with variable exponents

Creator:

Lu, Yan and Zhu, Yue Ping

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:2b763e5e-0d8a-4701-a454-3d56f0b680b6
uuid:2b763e5e-0d8a-4701-a454-3d56f0b680b6

Subject:

Morrey-Herz space, variable exponent, sublinear operator, and commutator

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We introduce a new type of variable exponent function spaces $M\dot K^{\alpha (\cdot ),\lambda }_{q,p(\cdot )}(\mathbb R^n)$ of Morrey-Herz type where the two main indices are variable exponents, and give some propositions of the introduced spaces. Under the assumption that the exponents $\alpha $ and $p$ are subject to the log-decay continuity both at the origin and at infinity, we prove the boundedness of a wide class of sublinear operators satisfying a proper size condition which include maximal, potential and Calderón-Zygmund operators and their commutators of BMO function on these Morrey-Herz type spaces by applying the properties of variable exponent and BMO norms.

Language:

English

Rights:

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

Coverage:

969-987

Source:

Czechoslovak Mathematical Journal | 2014 Volume:64 | Number:4

Harvested from:

CDK

Metadata only:

false