A new class of weights adapted to rough singular integrals and Marcinkiewicz integrals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

A new class of weights adapted to rough singular integrals and Marcinkiewicz integrals

Authors:	Chun Jie Zhang Ying You

Affiliation:	(1) School of Science, Hangzhou Dianzi University, Hangzhou, 310018, P. R. China;(2) Department of Mathematics, Hanghzou Normal University, Hangzhou, 310036, P. R. China

Abstract:	In this paper, we introduce a new class of weights $bar A_p (mathbb{R}^n )$ which retains many fine properties of the classical Muchenhoupt weights A _p(ℝⁿ). While A _p(ℝⁿ) is too big a class to obtain the weighted norm inequalities for rough singular integrals and Marcinkiewicz integrals, our new class $bar A_p (mathbb{R}^n )$ adapts well to these rough operators. As applications, we improve some known weighted estimates. This research is supported partly by NSFC (10601046, 10701064) and Hangdian Foundation (KYS075608076)

Keywords:	weighted estimates singular integral Marcinkiewicz integral
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