Strongly Singular Integral Operators on Weighted Hardy Space

Authors
Li, Jun Feng Lu, Shan Zhen
Citation
Li, Jun Feng et Lu, Shan Zhen, Strongly Singular Integral Operators on Weighted Hardy Space, Acta mathematica Sinica. English series (Print) , 22(3), 2006, pp. 767-772
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
3
Year of publication
2006
Pages
767 - 772
Database
ACNP
SICI code
Abstract
In this paper, we obtain that a strongly singular integral operator is bounded on Lpw space for 1 < p < .. We also obtain that a strongly singular integral operator is a bounded operator fromHpw to Lpw 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 Hpw for some w and 0 < p . 1.