Brennan's conjecture holds for semigroups of holomorphic functions

Fuente: arXiv
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Auteurs principaux: Aleman, Alexandru, Kouroupis, Athanasios
Format: Preprint
Publié: 2024
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author Aleman, Alexandru
Kouroupis, Athanasios
author_facet Aleman, Alexandru
Kouroupis, Athanasios
contents 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 Békollé-Bonami weights and spectra of integration operators.
format Preprint
id arxiv_https___arxiv_org_abs_2409_15074
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Brennan's conjecture holds for semigroups of holomorphic functions
Aleman, Alexandru
Kouroupis, Athanasios
Complex Variables
Classical Analysis and ODEs
Functional Analysis
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 Békollé-Bonami weights and spectra of integration operators.
title Brennan's conjecture holds for semigroups of holomorphic functions
topic Complex Variables
Classical Analysis and ODEs
Functional Analysis
url https://arxiv.org/abs/2409.15074