On Schatten-von Neumann class properties of pseudo-differential operators. Boulkhemair's method
Gruia Arsu
TL;DR
This paper studies the Schatten-von Neumann class characteristics of pseudo-differential operators with symbols in Sjöstrand algebra ideals, utilizing Boulkhemair's method to advance understanding of their operator properties.
Contribution
It introduces a novel application of Boulkhemair's method to analyze Schatten-von Neumann properties for operators with symbols in specific algebraic ideals.
Findings
Established conditions for Schatten-von Neumann class membership
Extended Boulkhemair's method to new classes of symbols
Provided new insights into operator ideal properties
Abstract
We investigate the Schatten-von Neumann properties of pseudo-differential operators using the method proposed by A. Boulkhemair in \cite{Boulkhemair 2}. The symbols are elements of the ideals of the Sj\"ostrand algebra .
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics · Nonlinear Waves and Solitons