Structure of weighted Hardy spaces on finitely connected domains

Year 2020, Volume: 49 Issue: 4, 1450 - 1457, 06.08.2020

Nihat Gökhan Göğüş

https://doi.org/10.15672/hujms.598004

Abstract

We give a complete characterization of a certain class of Hardy type spaces on finitely connected planar domains. In particular, we provide a decomposition result and give a description of such functions through their boundary values. As an application, we describe an isomorphism from the weighted Hardy space onto the classical Hardy-Smirnov space. This allows us to identify the multiplier space of the mentioned Hardy type spaces as the space of bounded holomorphic functions on the domain.

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Keywords

Hardy space, decomposition, boundary values

Supporting Institution

TUBITAK

Project Number

118F405

References

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