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	BMOL (H-n) spaces and Carleson measures for Schrodinger operators
	Lin, Chin-Cheng ; Liu, Heping
	2011
关键词	BMO space Carleson measure Hardy space Heisenberg group Reverse Holder class Schrodinger operator Stratified group HARDY-SPACES
英文摘要	Let L = Delta(Hn) + V be a Schrodinger operator on the Heisenberg group H-n, where Delta(Hn) is the sub-Laplacian and the nonnegative potential V belongs to the reverse Holder class B-Q/2. Here Q is the homogeneous dimension H-n. In In this article we investigate the dual space of the Hardy-type space H-L(I) (H-n) associated with the Schrodinger operator L. which is a kind of BMO-type space BMOL (H-n) defined by means of a revised sharp function related to the potential V. We give the Fefferman Stein type decomposition of BMOL-functions with respect to the (adjoin Riesz transforms (R) over tilde (L)(j) for L, and characterize BMOL (H-n) in terms of the Carleson measure. We also establish the BMOL-boundedness of some operators, such as the (adjoin Riesz transforms (R) over tilde (L)(j), the Littlewood-Paley function s(Q)(L), the Lusin area integral S-Q(L). the Hardy-Littlewood maximal function, and the semigroup maximal function. All results hold for stratified groups as well. (C) 2011 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000294195400009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 14; ARTICLE; 3; 1631-1688; 228
语种	英语
出处	SCI
出版者	数学进展
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/237601]
专题	数学科学学院
推荐引用方式 GB/T 7714	Lin, Chin-Cheng,Liu, Heping. BMOL (H-n) spaces and Carleson measures for Schrodinger operators. 2011-01-01.

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