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arXiv · 2111.10849

$M$-Ellipticity of Fredholm Pseudo-Differential Operators on $L^p(\mathbb{R}^n)$ and Gårding's Inequality

Aparajita Dasgupta·Lalit Mohan
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Abstract

In this paper, we study the $M$-ellipticity of Fredholm pseudo-differential operators associated with weighted symbols on $L^p(\mathbb{R}^n)$, $1 < p < \infty$. We also prove the Gårding's inequality for $M$-elliptic operators and the hybrid class of pseudo-differential operators, namely SG$M$-elliptic operators.

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Aparajita Dasgupta, Lalit Mohan. 2021-11-27. $M$-Ellipticity of Fredholm Pseudo-Differential Operators on $L^p(\mathbb{R}^n)$ and Gårding's Inequality. https://arxiv.org/abs/2111.10849

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