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Endpoint Estimate for Commutator of Riesz Transform Associated with
Pengtao Li * #,Lizhong Peng
School of Mathematica, Peking University
*Correspondence author
#Submitted by
Subject:
Funding: 教育部博士点基金,教育部博士点基金,国家自然科学基金（No.RFDP20060001010,RFDP200800010009,NSFC10826106）
Opened online:22 July 2009
Accepted by: none
Citation: Pengtao Li,Lizhong Peng.Endpoint Estimate for Commutator of Riesz Transform Associated with[OL]. [22 July 2009] http://en.paper.edu.cn/en_releasepaper/content/34003
 
 
In this paper, we will discuss the H1L boundedness of commutator of Riesz transform associated with Schrödinger operator L = −Δ + V, where H1L (Rn) be the Hardy space associated with L. We assume that V (x) is a nonzero, nonnegative potential and belongs to Bq for some q > n/2. Let T1 = V (x)(− Δ+V )−1 , T2 = V 1/2(−Δ+V )−1/2 and T3 = ▽(−Δ+V )−1/2 , we obtain that, for b ∈ BMO(Rn), the commutator [b, Ti], (i =1, 2, 3) are of (H1L ,L1weak ) boundedness.
Keywords:Commutator;Schrödinger operator;HL1, BMOL;Atomic decomposition
 
 
 

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