Weighted endpoint estimates for commutators of fractional integrals

Title:

Weighted endpoint estimates for commutators of fractional integrals

Creator:

Cruz-Uribe, David and Fiorenza, Alberto

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f2dc8eff-3797-4786-b8ac-2dee6a3f51df
uuid:f2dc8eff-3797-4786-b8ac-2dee6a3f51df

Subject:

fractional integrals, comutators, BMO, weights, Orlicz spaces, and maximal functions

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Given $\alpha $, $0<\alpha <n$, and $b\in {\mathrm BMO}$, we give sufficient conditions on weights for the commutator of the fractional integral operator, $[b,I_\alpha ]$, to satisfy weighted endpoint inequalities on $\mathbb{R}^n$ and on bounded domains. These results extend our earlier work [3], where we considered unweighted inequalities on $\mathbb{R}^n$.

Language:

English

Rights:

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

Coverage:

153-160

Source:

Czechoslovak Mathematical Journal | 2007 Volume:57 | Number:1

Harvested from:

CDK

Metadata only:

false