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arXiv · 2409.15074

Brennan's conjecture holds for semigroups of holomorphic functions

Alexandru Aleman·Athanasios Kouroupis
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Abstract

In the present note, we give a short proof of Brennan's conjecture in the special case of continuous semigroups of holomorphic functions. We apply classical techniques of complex analysis in conjunction with recent results on B\'{e}koll\'{e}-Bonami weights and spectra of integration operators.

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BibTeXRIS

Alexandru Aleman, Athanasios Kouroupis. 2024-09-23. Brennan's conjecture holds for semigroups of holomorphic functions. https://arxiv.org/abs/2409.15074

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