Analytic Classes on Subframe and Expanded Disk and the ℛs Differential Operator in Polydisk

We introduce and study new analytic classes on subframe and expanded disk and give complete description of their traces on the unit disk. Sharp embedding theorems and various new estimates concerning differential ℛs operator in polydisk also will be presented. Practically all our results...

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Main Authors: Olivera R. Mihić, Romi F. Shamoyan
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/353801
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author Olivera R. Mihić
Romi F. Shamoyan
author_facet Olivera R. Mihić
Romi F. Shamoyan
author_sort Olivera R. Mihić
collection DOAJ
description We introduce and study new analytic classes on subframe and expanded disk and give complete description of their traces on the unit disk. Sharp embedding theorems and various new estimates concerning differential ℛs operator in polydisk also will be presented. Practically all our results were known or obvious in the unit disk.
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1029-242X
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spelling doaj.art-aa45f8be473b47f99ff7cd37a880d7872022-12-22T01:43:14ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/353801Analytic Classes on Subframe and Expanded Disk and the ℛs Differential Operator in PolydiskOlivera R. MihićRomi F. ShamoyanWe introduce and study new analytic classes on subframe and expanded disk and give complete description of their traces on the unit disk. Sharp embedding theorems and various new estimates concerning differential ℛs operator in polydisk also will be presented. Practically all our results were known or obvious in the unit disk.http://dx.doi.org/10.1155/2009/353801
spellingShingle Olivera R. Mihić
Romi F. Shamoyan
Analytic Classes on Subframe and Expanded Disk and the ℛs Differential Operator in Polydisk
Journal of Inequalities and Applications
title Analytic Classes on Subframe and Expanded Disk and the ℛs Differential Operator in Polydisk
title_full Analytic Classes on Subframe and Expanded Disk and the ℛs Differential Operator in Polydisk
title_fullStr Analytic Classes on Subframe and Expanded Disk and the ℛs Differential Operator in Polydisk
title_full_unstemmed Analytic Classes on Subframe and Expanded Disk and the ℛs Differential Operator in Polydisk
title_short Analytic Classes on Subframe and Expanded Disk and the ℛs Differential Operator in Polydisk
title_sort analytic classes on subframe and expanded disk and the x0211b s differential operator in polydisk
url http://dx.doi.org/10.1155/2009/353801
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AT romifshamoyan analyticclassesonsubframeandexpandeddiskandthex0211bsdifferentialoperatorinpolydisk