Journal
MATHEMATISCHE ZEITSCHRIFT
Volume 288, Issue 3-4, Pages 1273-1298Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00209-017-1934-8
Keywords
Riesz transforms; Inverse-square potential; Littlewood-Paley theory; Mikhlin multiplier theorem; Heat kernel estimate
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Funding
- NSF [DMS-1265868, DMS-1161396]
- NSFC [11171033, 11231006, 11401024]
- PFMEC [20121101120044]
- Beijing Natural Science Foundation [1144014]
- ERC
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We study the -theory for the Schrodinger operator with inverse-square potential . Our main result describes when -based Sobolev spaces defined in terms of the operator agree with those defined via . We consider all regularities . In order to make the paper self-contained, we also review (with proofs) multiplier theorems, Littlewood-Paley theory, and Hardy-type inequalities associated to the operator L-a.
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