Strongly Singular Integral Operators on Weighted Hardy Space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

Strongly Singular Integral Operators on Weighted Hardy Space

Authors:	Jun Feng Li Shan Zhen Lu

Affiliation:	(1) Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China

Abstract:	In this paper, we obtain that a strongly singular integral operator is bounded on $L^{p}_{w}$ space for 1 < p < ∞. We also obtain that a strongly singular integral operator is a bounded operator from $H^{p}_{w}$ to $L^{p}_{w}$ 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 $H^{p}_{w}$ for some w and 0 < p ≤ 1. Supported by National 973 Program of China (Grant No. 19990751)

Keywords:	Strongly singular Calderón– Zygmund operators Hardy spaces A _p weight
本文献已被 SpringerLink 等数据库收录！