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arXiv · 2509.11577

Weighted inequalities for variation operators associated with fractional Schrödinger semigroups

Yanhan Chen
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Abstract

Let $\{e^{-tL^α}\}_{t>0}$ be the fractional Schrödinger semigroup associated with $L=-Δ+V$, where $V$ is a non-negatvie potential belonging to the reverse Hölder class. In this paper, we establish weighted boundedness properties of the variation operator related to $\{e^{-tL^α}\}_{t>0}$, including weighted $L^{p}-L^{q}$ quantitative inequalities and mixed weak-type inequalities.

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Yanhan Chen. 2025-09-15. Weighted inequalities for variation operators associated with fractional Schrödinger semigroups. https://arxiv.org/abs/2509.11577

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