Local Hardy-Littlewood maximal operator

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51135

Title:	Local Hardy-Littlewood maximal operator
Authors:	Lin,CC;Stempak,K
Contributors:	數學系
Keywords:	INEQUALITIES
Date:	2010
Issue Date:	2012-03-27 18:22:54 (UTC+8)
Publisher:	國立中央大學
Abstract:	In this article we define and investigate a local Hardy-Littlewood maximal operator in Euclidean spaces. It is proved that this operator satisfies weighted L(p), p > 1, and weighted weak type (1, 1) estimates with weight function w is an element of A(loc)(p), the class of local A(p) weights which is larger than the Muckenhoupt A(p) class. Also, the condition w is an element of A(loc)(p) turns out to be necessary for the weighted weak type (p, p), p >= 1, inequality to hold.
Relation:	MATHEMATISCHE ANNALEN
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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