Weighted BMO Estimates for Commutators of Riesz Transforms Associated with Schrödinger Operator

Wen Hua Gao

doi:10.4028/www.scientific.net/AMM.303-306.1613

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 303-306Weighted BMO Estimates for Commutators of Riesz...

Weighted BMO Estimates for Commutators of Riesz Transforms Associated with Schrödinger Operator

Abstract:

Schrödinger operator; Weighted BMO spaces; Reverse Hölder inequality; Commutator 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 BMO function on weighted Lebesgue integral spaces are obtained, for some weighted function.

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Periodical:

Applied Mechanics and Materials (Volumes 303-306)

Pages:

1613-1617

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.303-306.1613

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Online since:

February 2013

Authors:

Wen Hua Gao

Keywords:

Commutator, Reverse Hölder Inequality, Schrödinger Operator, Weighted BMO Spaces

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