- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 4
- Structure of weighted Hardy spaces on finitely connected domains
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
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