Strongly Singular Integral Operators on Weighted Hardy Space  

作　　者：Jun Feng LI Shan Zhen LU 

机构地区：[1]Department of Mathematics,Beijing Normal University

出　　处：《Acta Mathematica Sinica,English Series》2006年第3期767-772,共6页数学学报（英文版）

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

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.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.

关 键 词：Strongly singular Calderón-Zygmund operators Hardy spaces A WEIGHT 

分 类 号：O177.6[理学—数学]