A Schatten -von Neumann class criterion for the magnetic Weyl calculus
Nassim Athmouni, Radu Purice
TL;DR
This paper establishes criteria for when magnetic Weyl operators belong to Schatten-von Neumann classes, extending existing methods to the magnetic setting.
Contribution
It introduces a new criterion for magnetic Weyl operators to be in Schatten classes, expanding the mathematical framework for magnetic pseudodifferential operators.
Findings
Derived Schatten class criteria for magnetic Weyl operators.
Extended classical methods to the magnetic context.
Provided mathematical tools for analyzing magnetic pseudodifferential operators.
Abstract
We prove criteria for a {\it 'magnetic' Weyl operator} to be in a Schatten-von Neuman class by extending a method developed by H. Cordes, T. Kato and G. Arsu.
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