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

arXiv
Authors: Michael A. Soloviev

Year

2020

Paper ID

21935

Status

Preprint

Abstract Read

~2 min

Abstract Words

82

Citations

N/A

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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  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.13627 [2] arXiv https://arxiv.org/abs/2007.13627 [3] Publisher https://arxiv.org/abs/2007.13627

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