Weighted <Emphasis Type="Italic">L</Emphasis><Superscript><Emphasis Type="Italic">p</Emphasis></Superscript> Boundedness of Marcinkiewicz Integral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

Weighted Lp Boundedness of Marcinkiewicz Integral

Authors:	Ming-Yi?Lee author-information" > author-information__contact u-icon-before" > mailto:limy@math.ncu.edu.tw" title=" limy@math.ncu.edu.tw" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Chin-Cheng?Lin author-information" > author-information__contact u-icon-before" > mailto:clin@math.ncu.edu.tw" title=" clin@math.ncu.edu.tw" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Department of Mathematics, National Central University, Chung-Li, 320, Taiwan, P.R. China

Abstract:	A weighted norm inequality for the Marcinkiewicz integral operator $mu_{Omega}$ is proved when belongs to $H^1(S^{n-1}), n geq 2$ . We also give the weightedL^p-boundedness for a class of Marcinkiewicz integral operators with roughkernels $mu^{}_{Omega, lambda}$ and $mu_{Omega, S}$ related to the Littlewood-Paley $g^{}_{lambda}$ -function and thearea integral S, respectively.

Keywords:	42B25 42B30
本文献已被 SpringerLink 等数据库收录！