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	Bilinear operators associated with Schrodinger operators
	Lin, Chin-Cheng ; Lin, Ying-Chieh ; Liu, Heping ; Liu, Yu
	2011
关键词	bilinear operators Hardy spaces Riesz transforms Schrodinger operators REVERSE HOLDER INEQUALITY POTENTIALS SPACES
英文摘要	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.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000297090700004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 1; ARTICLE; 3; 281-295; 205
语种	英语
出处	SCI
出版者	studia mathematica
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/395690]
专题	数学科学学院
推荐引用方式 GB/T 7714	Lin, Chin-Cheng,Lin, Ying-Chieh,Liu, Heping,et al. Bilinear operators associated with Schrodinger operators. 2011-01-01.

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