Weighted Boundedness of Commutators of Riesz Transforms Associated with Schrödinger Operator

Wen Hua Gao; Wei Zhou

doi:10.4028/www.scientific.net/AMM.256-259.2939

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 256-259Weighted Boundedness of Commutators of Riesz...

Weighted Boundedness of Commutators of Riesz Transforms Associated with Schrödinger Operator

Abstract:

In this paper, the Schrödinger operator on n dimensions Euclid space with the non-zero, nonnegative potential function satisfying the reverse Hölder inequality is considered. The weighted boundedness of the commutators composed of several Riesz transforms associated with the Schrödinger operator and weighted Lipschitz function on weighted Lebesgue integral spaces are obtained, for some weighted function.

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Periodical:

Applied Mechanics and Materials (Volumes 256-259)

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2939-2942

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.256-259.2939

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Online since:

December 2012

Authors:

Wen Hua Gao, Wei Zhou

Keywords:

Commutator, Reverse Hölder Inequality, Schrödinger Operator

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