Year: 2013
Author: Dan Zou, Xiaoli Chen, Dongxiang Chen
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 2 : pp. 120–127
Abstract
In this note, the author prove that maximal Bochner-Riesz commutator $B^b_{\delta,\ast}$ generated by operator $B_{\delta,\ast}$ and function $b\in BMO(\omega)$ is a bounded operator from $L^{p}(\mu)$ into $L^{p}(\nu)$, where $\omega\in(\mu\nu^{-1})^{\frac{1}{p}},\mu,\nu\in A_p$ for $1 < p <\infty$. The proof relies heavily on the pointwise estimates for the sharp maximal function of the commutator $B^b_{\delta,\ast}$.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2013.v29.n2.3
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 2 : pp. 120–127
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Bochner-Riesz operator commutator weighted $BMO(\omega)$ space.