Analytic Classes on Subframe and Expanded Disk and the [inline-graphic not available: see fulltext] Differential Operator in Polydisk

被引：0
作者：
Romi F. Shamoyan
Olivera R. Mihić
机构：
[1] Bryansk University,Department of Mathematics
[2] University of Belgrade,Faculty of Organizational Sciences
来源：
Journal of Inequalities and Applications | / 2009卷
关键词：
Holomorphic Function; Unit Disk; Bergman Space; Carleson Measure; Dyadic Cube;
D O I：
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中图分类号：
学科分类号：
摘要：
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 [inline-graphic not available: see fulltext] operator in polydisk also will be presented. Practically all our results were known or obvious in the unit disk.
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[1]  
Shamoyan R(2009)On some properties of a differential operator on the polydisk Banach Journal of Mathematical Analysis 3 68-84
[2]  
Li S(1978)Embedding theorems and characterization of traces in the spaces Matematicheskii Sbornik 107 709-725
[3]  
Shamoian FA(1999)Hardy's inequality and embeddings in holomorphic Triebel-Lizorkin spaces Illinois Journal of Mathematics 43 733-751
[4]  
Ortega JM(2009)A note on the diagonal mapping in spaces of analytic functions in the unit polydisc Publicationes Mathematicae Debrecen 74 45-58
[5]  
Fàbrega J(1976)Mackey topologies, reproducing kernels, and diagonal maps on the Hardy and Bergman spaces Duke Mathematical Journal 43 187-202
[6]  
Jevtić M(2004)The diagonal mapping in mixed norm spaces Studia Mathematica 163 103-117
[7]  
Pavlović M(2002)A counterexample to the corona theorem for operators on Pacific Journal of Mathematics 206 257-268
[8]  
Shamoyan RF(2007)On the action of Hankel operators in bidisk and subspaces in Comptes Rendus de l'Académie Bulgare des Sciences 60 929-934
[9]  
Shapiro JH(1988) connected with inner functions in the unit disk American Journal of Mathematics 110 1119-1152
[10]  
Ren G(1993)Restrictions of Trudy Matematicheskogo Instituta imeni V. A. Steklova 204 137-159
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