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## Structure of weighted Hardy spaces on finitely connected domains

#### Nihat Gökhan GÖĞÜŞ [1]

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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Hardy space, decomposition, boundary values
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Primary Language en Mathematics Mathematics Orcid: 0000-0003-1966-8409Author: Nihat Gökhan GÖĞÜŞ (Primary Author)Institution: Sabancı UniversityCountry: Turkey TUBITAK 118F405 Publication Date : August 6, 2020
 Bibtex @research article { hujms598004, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {1450 - 1457}, doi = {10.15672/hujms.598004}, title = {Structure of weighted Hardy spaces on finitely connected domains}, key = {cite}, author = {Göğüş, Nihat Gökhan} } APA Göğüş, N . (2020). Structure of weighted Hardy spaces on finitely connected domains . Hacettepe Journal of Mathematics and Statistics , 49 (4) , 1450-1457 . DOI: 10.15672/hujms.598004 MLA Göğüş, N . "Structure of weighted Hardy spaces on finitely connected domains" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1450-1457 Chicago Göğüş, N . "Structure of weighted Hardy spaces on finitely connected domains". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1450-1457 RIS TY - JOUR T1 - Structure of weighted Hardy spaces on finitely connected domains AU - Nihat Gökhan Göğüş Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.598004 DO - 10.15672/hujms.598004 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1450 EP - 1457 VL - 49 IS - 4 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.598004 UR - https://doi.org/10.15672/hujms.598004 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Structure of weighted Hardy spaces on finitely connected domains %A Nihat Gökhan Göğüş %T Structure of weighted Hardy spaces on finitely connected domains %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 4 %R doi: 10.15672/hujms.598004 %U 10.15672/hujms.598004 ISNAD Göğüş, Nihat Gökhan . "Structure of weighted Hardy spaces on finitely connected domains". Hacettepe Journal of Mathematics and Statistics 49 / 4 (August 2020): 1450-1457 . https://doi.org/10.15672/hujms.598004 AMA Göğüş N . Structure of weighted Hardy spaces on finitely connected domains. Hacettepe Journal of Mathematics and Statistics. 2020; 49(4): 1450-1457. Vancouver Göğüş N . Structure of weighted Hardy spaces on finitely connected domains. Hacettepe Journal of Mathematics and Statistics. 2020; 49(4): 1450-1457.

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