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Abstract
Let A=-(1i∇-a)2+V be a magnetic Schrödinger operator on Rn, where a∈Lloc2(Rn)n and 0≤V∈Lloc1(Rn). We show that Lp(Rn) boundedness of LjLkA-1 and VA-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.
Original language | English |
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Pages (from-to) | 1196-1218 |
Number of pages | 23 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 437 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 May 2016 |
Keywords
- Magnetic Schrödinger operator
- Musielak-Orlicz Hardy space
- Riesz transform
- Commutator
- Muckenhoupt weight
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Dive into the research topics of 'Second-order Riesz transforms associated with magnetic Schrödinger operators'. Together they form a unique fingerprint.Projects
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Harmonic Analysis and Partial Differential Operators
Duong, X. & PhD Contribution (ARC), P. C. (.
1/01/14 → …
Project: Research