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arXiv · 2402.10759

A class of symbols that induce bounded composition operators for Dirichlet-type spaces on the disc

Athanasios Beslikas
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Abstract

In this note we study the problem of determining the holomorphic self maps of the unit disc that induce a bounded composition operator on Dirichlet-type spaces. We find a class of symbols $\varphi$ that induce a bounded composition operator on the Dirichlet-type spaces, by applying results of the multidimensional theory of composition operators for the weighted Bergman spaces of the bi-disc.

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Athanasios Beslikas. 2024-02-16. A class of symbols that induce bounded composition operators for Dirichlet-type spaces on the disc. https://doi.org/10.1017/s0004972724000170

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