Bilinear operators associated with Schrodinger operators

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51186

Title:	Bilinear operators associated with Schrodinger operators
Authors:	Lin,CC;Lin,YC;Liu,HP;Liu,Y
Contributors:	數學系
Keywords:	REVERSE HOLDER INEQUALITY;POTENTIALS;SPACES
Date:	2011
Issue Date:	2012-03-27 18:24:22 (UTC+8)
Publisher:	國立中央大學
Abstract:	Let L = -Delta + V be a Schrodinger operator in R(d) and H(L)(1)(R(d)) be the Hardy type space associated to L. We investigate the bilinear operators T(+) and T(-) defined by T(+/-)(f, g)(x) = (T(1)f)(x)(T(2)g)(x) +/- (T(2)f)(x)(T(1)g)(x), where T(1) and T(2) are Calderon-Zygmund operators related to L. Under some general conditions, we prove that either T(+) or T(-) is bounded from L(p)(R(d)) x L(q) (R(d)) to H(L)(1)(R(d)) for 1 < p, q < infinity with 1/p + 1/q = 1. Several examples satisfying these conditions are given. We also give a counterexample for which the classical Hardy space estimate fails.
Relation:	STUDIA MATHEMATICA
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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