Variation operators on $BMO$ in the Schr\"odinger setting
J.J. Betancor, J.C. Fari\~na, E. Harboure, and L. Rodr\'iguez-Mesa
TL;DR
This paper proves that variation operators linked to the heat semigroup and Riesz transforms for Schr"odinger operators are bounded on a specific BMO space, advancing understanding of harmonic analysis in quantum contexts.
Contribution
It establishes boundedness of variation operators on BMO spaces in the Schr"odinger setting, a novel result in harmonic analysis.
Findings
Boundedness of variation operators on BMO in Schr"odinger context
Extension of classical harmonic analysis results to Schr"odinger operators
New tools for analyzing quantum harmonic analysis
Abstract
In this paper we prove that the variation operators associated with the heat semigroup and Riesz transforms related to the Schr\"odinger operator are bounded on the suitable type space.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Numerical methods in inverse problems