Lipschitz estimates for commutators of singular integral operators associated with the sections

Abstract Let H be Monge-Ampère singular integral operator, b ∈ L i p F β $b\in Lip_{\mathcal{F}}^{\beta}$ , and 1 / q = 1 / p − β $1/q=1/p-\beta$ . It is proved that the commutator [ b , H ] $[b,H]$ is bounded from L p ( R n , d μ ) $L^{p}(\mathbb{R}^{n},d\mu)$ to L q ( R n , d μ ) $L^{q}(\mathbb{R}...

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Bibliographic Details
Main Authors: Guangqing Wang, Jiang Zhou
Format: Article
Language:English
Published: SpringerOpen 2017-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1299-x