Article ID Journal Published Year Pages File Type
4614383 Journal of Mathematical Analysis and Applications 2016 23 Pages PDF
Abstract

Let A=−(1i∇−a)2+V be a magnetic Schrödinger operator on RnRn, where a∈Lloc2(Rn)n and 0≤V∈Lloc1(Rn). We show that Lp(Rn)Lp(Rn) boundedness of LjLkA−1LjLkA−1 and VA−1VA−1 for some interval of p   automatically implies boundedness of the same operators and their commutators on Lwp(Rn) for certain Muckenhoupt weights w, and on the Musielak–Orlicz Hardy type spaces.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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