Lp-boundedness properties of variation operators in the Schrödinger setting

In this paper we establish the L p -boundedness properties of the variation operators associated with the heat semigroup, Riesz transforms and commutator between Riesz transforms and multiplication by BMO (ℝ n )-functions in the Schrödinger setting.

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Bibliographic Details
Published in:Revista matemática complutense 2013, Vol.26 (2), p.485-534
Main Authors: Betancor, J. J., Fariña, J. C., Harboure, E., Rodríguez-Mesa, L.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Topology
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Description
Summary:In this paper we establish the L p -boundedness properties of the variation operators associated with the heat semigroup, Riesz transforms and commutator between Riesz transforms and multiplication by BMO (ℝ n )-functions in the Schrödinger setting.
ISSN:1139-1138
1988-2807
DOI:10.1007/s13163-012-0094-y