On Hermite pseudo-multipliers

Sayan Bagchi; Sundaram Thangavelu

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arXiv · 1406.5353

On Hermite pseudo-multipliers

Sayan Bagchi·Sundaram Thangavelu

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Abstract

In this article we deal with a variation of a theorem of Mauceri concerning the $ L^p $ boundedness of operators $ M $ which are known to be bounded on $ L^2.$ We obtain sufficient conditions on the kernel of the operaor $ M $ so that it satisfies weighted $ L^p $ estimates. As an application we prove $ L^p $ boundedness of Hermite pseudo-multipliers.

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BibTeX RIS

Sayan Bagchi, Sundaram Thangavelu. 2014-06-20. On Hermite pseudo-multipliers. https://arxiv.org/abs/1406.5353

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