Year: 2018
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 1 : pp. 45–76
Abstract
Let A:=−(∇−i→a)·(∇−i→a)+V be a magnetic Schrödinger operator on L2(Rn), n≥2, where →a:=(a1,···,an)∈L2loc(Rn,Rn) and 0≤V∈L1loc(Rn). In this paper, we
show that for a function b in Lipschitz space Lipα (Rn) with α∈(0,1), the commutator [b,V1/2A−1/2] is bounded from Lp(Rn) to Lq(Rn), where p, q∈(1,2] and 1/p−1/q=α/n.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2018.v34.n1.4
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 1 : pp. 45–76
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 32
Keywords: Commutator Lipschitz space the sharp maxical function magnetic Schrödinger operator Hölder inequality.