Calderón-Zygmund型算子交换子的加权尖锐估计

张璞;徐罕

数学学报 ›› 2005, Vol. 48 ›› Issue (4) : 625-636.

数学学报 ›› 2005, Vol. 48 ›› Issue (4) : 625-636. DOI: 10.12386/A2005sxxb0078
论文

Calderón-Zygmund型算子交换子的加权尖锐估计

    张璞;徐罕
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Sharp Weighted Estimates for Commutators of Calderón-Zygmund Type Operators

    Pu ZHANG, Han XU
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摘要

本文讨论了θ-型Calderón-Zygmund算子与BMO函数生成的交换子的加权估计.在权函数仅为非负局部可积函数或属于A∞的假设下,当0

Abstract

The weighted estimates for the commutators generalized by θ-type Calderón-Zygmund operators and BMO functions are discussed. A kind of sharp weighted estimates when 0 < p < ∞ and the weighted weak-type estimates when p = 1 are established with weights being locally integrable and nonnegative or belonging to the class A∞.

关键词

Calderón-Zygmund算子 / θ-型核 / 交换子

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张璞;徐罕. Calderón-Zygmund型算子交换子的加权尖锐估计. 数学学报, 2005, 48(4): 625-636 https://doi.org/10.12386/A2005sxxb0078
Pu ZHANG, Han XU. Sharp Weighted Estimates for Commutators of Calderón-Zygmund Type Operators. Acta Mathematica Sinica, Chinese Series, 2005, 48(4): 625-636 https://doi.org/10.12386/A2005sxxb0078

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