Structure of weighted Hardy spaces on finitely connected domains

Authors : Nihat Gökhan GÖĞÜŞ

Pages : 1450-1457

Doi:10.15672/hujms.598004

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Publication Date : 2020-08-06

Article Type : Research Paper

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. ******************************************************************************************
Keywords : Hardy space, decomposition, boundary values