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arXiv · 2007.13627

Inclusion theorems for the Moyal multiplier algebras of generalized Gelfand-Shilov spaces

Michael A. Soloviev
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Abstract

We prove that the Moyal multiplier algebras of the generalized Gelfand-Shilov spaces of type $S$ contain Palamodov spaces of type $\mathcal E$ and the inclusion maps are continuous. We also give a direct proof that the Palamodov spaces are algebraically and topologically isomorphic to the strong duals of the spaces of convolutors for the corresponding spaces of type $S$. The obtained results provide an effective way to describe the properties of pseudodifferential operators with symbols in the spaces of type $\mathcal E$.

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Michael A. Soloviev. 2020-07-27. Inclusion theorems for the Moyal multiplier algebras of generalized Gelfand-Shilov spaces. https://arxiv.org/abs/2007.13627

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