Weighted estimates for multilinear commutators of Marcinkiewicz integral期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

首页 | 本学科首页

官方微博 | 高级检索

Weighted estimates for multilinear commutators of Marcinkiewicz integral

Authors:

Pu Zhang

Affiliation:

(1) Department of Mathematics, Mudanjiang Teachers College, Mudanjiang, 157012, P. R. China

Abstract:

Let μ be the n-dimensional Marcinkiewicz integral and μ_b→ the multilinear commutator of μ. In this paper, the following weighted inequalities are proved for ω ∈ A _∞ and 0 < p < ∞,

$||mu (f)||_{L^p (omega )} leqslant C||Mf||_{L^p (omega )} and||mu _{vec b} (f)||_{L^p (omega )} leqslant C||M_{L(logL)^{{1 mathord{left/ {vphantom {1 r}} right. kern-nulldelimiterspace} r}} } f||_{L^p (omega )} .$

The weighted weak L(log L)^1/r-type estimate is also established when p = 1 and ω ∈ A ₁. Supported by Hei Long Jiang Postdoctoral Foundation (LBH-Q06002)

Keywords:

Marcinkiewicz integral multilinear commutator sharp function A _p weights

本文献已被维普 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏