4.1 Article

On Weighted Compactness of Oscillation and Variation of Commutators Associated with Schrodinger Operators

Journal

ANALYSIS MATHEMATICA
Volume 49, Issue 3, Pages 765-805

Publisher

SPRINGER INT PUBL AG
DOI: 10.1007/s10476-023-0229-z

Keywords

weighted compactness; Schrodinger type operator; oscillation inequality; variation inequality; commutator

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This paper focuses on the weighted compactness of oscillation and variation commutators generated by BMO-type functions and some Schrödinger operators. The operators studied include the Riesz transform and other standard Calderon-Zygmund operators.
Let L = -triangle + V be a Schrodinger operator with a nonnegative potential V belonging to the reverse Holder class B-q for q > n/2. In this paper, we study the weighted compactness of oscillation and variation commutators generated by BMO-type functions and some Schrodinger operators, which include Riesz transform and other standard Calderon-Zygmund operators.

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