Abstract
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(ℝn)-functions in the Schrödinger setting.
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The authors would like to thank the referee for pointing out the results in the recent paper [20] and his valuable comments that allow us to improve this paper.
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This paper is partially supported by MTM2007/65609 and MTM2010/17974 (Spain) and by Consejo Nacional de Investigaciones Científicas y Técnicas (Argentina), PIP 2303.
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Betancor, J.J., Fariña, J.C., Harboure, E. et al. L p-boundedness properties of variation operators in the Schrödinger setting. Rev Mat Complut 26, 485–534 (2013). https://doi.org/10.1007/s13163-012-0094-y
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DOI: https://doi.org/10.1007/s13163-012-0094-y