$L^p$ boundedness, r-nuclearity and approximation of pseudo-differential operators on $\hbar \mathbb {Z}^n$

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发表日期：

2025年6月4日

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Juan Pablo Lopez

摘要

In this work sufficient conditions on the order of the symbol are developed to ensure boundedness, compactness and r-nuclearity of pseudo-differential operators in $\hbar \mathbb {Z}^n$ $ħ Z^{n}$ . In addition, these conditions allow us to conclude growth estimates for the eigenvalues of some elliptic operators, in particular perturbed discrete Schrödinger operator.

\(L^p\) boundedness, r-nuclearity and approximation of pseudo-differential operators on \(\hbar \mathbb {Z}^n\)

摘要