Strongly Singular Integral Operators on Weighted Hardy Space

作     者：Jun Feng LI Shan Zhen LU 

作者机构：Department of MathematicsBeijing Normal University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第3期

页      面：767-772页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by National 973 Program of China(Grant No.19990751) 

主　　题：Strongly singular Calderón-Zygmund operators Hardy spaces A weight 

摘      要：In this paper, we obtain that a strongly singular integral operator is bounded on Lω^p. space for 1 〈 p 〈 ∞. We also obtain that a strongly singular integral operator is a bounded operator from Hω^p, to Lω^p for some weight w and 0 〈 p ≤ 1. And by an atomic decomposition, we obtain that a strongly singular integral operator is a bounded operator on Hω^p for some w and 0 〈 p ≤ 1.