• Corpus ID: 235293961

# Holomorphic semigroups and Sarason's characterization of vanishing mean oscillation

@inproceedings{Chalmoukis2021HolomorphicSA,
title={Holomorphic semigroups and Sarason's characterization of vanishing mean oscillation},
author={Nikolaos Chalmoukis and Vassilis Daskalogiannis},
year={2021}
}
• Published 2 June 2021
• Mathematics
It is a classical theorem of Sarason that an analytic function of bounded mean oscillation (BMOA), is of vanishing mean oscillation if and only if its rotations converge in norm to the original function as the angle of the rotation tends to zero. In a series of two papers Blasco et al. have raised the problem of characterizing all semigroups of holomorphic functions (φt) that can replace the semigroup of rotations in Sarason’s Theorem. We give a complete answer to this question, in terms of a…
1 Citations

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