Weighted endpoint estimates for commutators of multilinear fractional integral operators

Title:

Weighted endpoint estimates for commutators of multilinear fractional integral operators

Creator:

Yan, Xuefang, Xue, Limei, and Li, Wenming

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:63159234-915e-498d-becc-3d72c181f120
uuid:63159234-915e-498d-becc-3d72c181f120

Subject:

multilinear fractional integral operators, commutator, BMO, weight, and maximal operators

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let $m$ be a positive integer, $0<\alpha <mn$, $\vec {b}=(b_{1},\cdots ,b_{m})\in {\rm BMO}^m$. We give sufficient conditions on weights for the commutators of multilinear fractional integral operators $\Cal {I}^{\vec {b}}_{\alpha }$ to satisfy a weighted endpoint inequality which extends the result in D. Cruz-Uribe, A. Fiorenza: Weighted endpoint estimates for commutators of fractional integrals, Czech. Math. J. 57 (2007), 153–160. We also give a weighted strong type inequality which improves the result in X. Chen, Q. Xue: Weighted estimates for a class of multilinear fractional type operators, J. Math. Anal. Appl., 362, (2010), 355–373.

Language:

English

Rights:

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

Coverage:

347-359

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:2

Harvested from:

CDK

Metadata only:

false