On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces

Title:

On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces

Creator:

Akbulut, Ali, Guliyev, Vagif, and Mustafayev, Rza

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f93cd47e-3e23-4d14-b2e6-5ca34f0af492
uuid:f93cd47e-3e23-4d14-b2e6-5ca34f0af492
doi:10.21136/MB.2012.142786

Subject:

generalized Morrey space, maximal operator, Hardy operator, and singular integral operator

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In the paper we find conditions on the pair (ω1, ω2) which ensure the boundedness of the maximal operator and the Calderón-Zygmund singular integral operators from one generalized Morrey space Mp,ω1 to another Mp,ω2 , 1 < p < ∞, and from the space M1,ω1 to the weak space WM1,ω2 . As applications, we get some estimates for uniformly elliptic operators on generalized Morrey spaces.

Language:

English

Rights:

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

Coverage:

27-43

Source:

Mathematica bohemica | 2012 Volume:137 | Number:1

Harvested from:

CDK

Metadata only:

false