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arXiv · 1702.05772

Invertibility of Toeplitz operators with polyanalytic symbols

Akaki Tikaradze
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Abstract

Given a polyanalytic function, we show that the corresponding Toeplitz operator on the Bergman space of the unit disc can be expressed as a quotient of certain differential operators with holomorphic coefficients. This enables us to obtain several operator theoretic results including a criterion for invertibility of a Toeplitz operator.

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BibTeXRIS

Akaki Tikaradze. 2017-02-19. Invertibility of Toeplitz operators with polyanalytic symbols. https://arxiv.org/abs/1702.05772

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