$L^p$-boundeness properties of variation operators in the Schrodinger setting

E. Harboure; J.C. Fari\~na; J.J. Betancor; L. Rodr\'iguez-Mesa

arxiv: 1010.3117 · v1 · pith:2M57N74Enew · submitted 2010-10-15 · 🧮 math.CA

L^p-boundeness properties of variation operators in the Schrodinger setting

J.J. Betancor , J.C. Fari\~na , E. Harboure , L. Rodr\'iguez-Mesa This is my paper

classification 🧮 math.CA

keywords operatorspropertiesrieszsettingtransformsvariationassociatedboundedness

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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 Schr\"odinger setting.

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L^p-boundeness properties of variation operators in the Schrodinger setting

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