The continuity of pseudo-differential operators on weighted local Hardy spaces

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51154

Title:	The continuity of pseudo-differential operators on weighted local Hardy spaces
Authors:	Lee,MY;Lin,CC;Lin,YC
Contributors:	數學系
Date:	2010
Issue Date:	2012-03-27 18:23:27 (UTC+8)
Publisher:	國立中央大學
Abstract:	We first show that a linear operator which is bounded on L(w)(2) with w is an element of A(1) can be extended to a bounded operator on the weighted local Hardy space Q, if and only if this operator is uniformly bounded on all h(w)(1)-atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to h(w)(1)
Relation:	STUDIA MATHEMATICA
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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