QUANTITATIVE WEIGHTED BOUNDS FOR VARIATION OPERATORS ASSOCIATED WITH HEAT SEMIGROUPS IN THE SCHRÖDINGER SETTING

Yongming Wen; Huoxiong Wu

doi:10.1216/rmj.2023.53.1645

Abstract

We obtain the quantitative weighted strong-type and weak-type estimates for variation operators associated with heat semigroups in the Schrödinger setting. In particular, we first established the quantitative endpoint bound for such operators in the Schrödinger setting, which is the main novelty of our results.

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Yongming Wen. Huoxiong Wu. "QUANTITATIVE WEIGHTED BOUNDS FOR VARIATION OPERATORS ASSOCIATED WITH HEAT SEMIGROUPS IN THE SCHRÖDINGER SETTING." Rocky Mountain J. Math. 53 (5) 1645 - 1656, October 2023. https://doi.org/10.1216/rmj.2023.53.1645

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Received: 6 September 2022; Revised: 14 October 2022; Accepted: 18 October 2022; Published: October 2023

First available in Project Euclid: 19 September 2023

MathSciNet: MR4643824

Digital Object Identifier: 10.1216/rmj.2023.53.1645

Subjects:

Primary: 42B20

Secondary: 42B25

Keywords: heat semigroups , maximal operators , quantitative weighted bounds , Schrödinger operators , variation operators

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