On Extension of Weighted Spaces of Holomorphic Functions in the Unit Bidisc to the Unit Matrix Disc

被引：0

作者：

Karapetyan, Arman ^{[1
]}

机构：

[1] Natl Acad Sci Republ Armenia, Inst Math, Yerevan 0019, Armenia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 08期

关键词：

matrix disc; unit bidisc; holomorphic functions; weighted function spaces;

D O I：

10.1134/S1995080224604302

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For weighted L-p-spaces of holomorphic functions in the unit bidisc, the following problem is investigated: what type of function spaces in the unit matrix disc R-n2 are obtained when the mentioned spaces are extended to the domain R-n2.

引用

页码：3572 / 3579

页数：8

共 29 条

[1] On Restriction of Weighted Spaces of Holomorphic Functions in the Unit Matrix Disc to the Unit Bidisc
Karapetyan, A. H.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (08) : 1084 - 1089
[2] On Restriction of Weighted Spaces of Holomorphic Functions in the Unit Matrix Disc to the Unit Bidisc
A. H. Karapetyan
Lobachevskii Journal of Mathematics, 2019, 40 : 1084 - 1089
[3] The Radon Inversion Problem for Holomorphic Functions in the Unit Disc
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Computational Methods and Function Theory, 2022, 22 : 135 - 156
[4] The Radon Inversion Problem for Holomorphic Functions in the Unit Disc
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COMPUTATIONAL METHODS AND FUNCTION THEORY, 2022, 22 (01) : 135 - 156
[5] SOLID HULLS OF WEIGHTED BANACH SPACES OF ANALYTIC FUNCTIONS ON THE UNIT DISC WITH EXPONENTIAL WEIGHTS
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[6] Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball
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[7] Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball
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[8] ON TRACES OF HOLOMORPHIC FUNCTIONS ON THE UNIT POLYBALL
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Mihic, Olivera R.
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2009, 3 (02) : 198 - 211
[9] An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions
Fuchs, Martin
JOURNAL OF APPLIED ANALYSIS, 2011, 17 (01) : 131 - 135
[10] On the isomorphism classes of weighted spaces of harmonic and holomorphic functions
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STUDIA MATHEMATICA, 2006, 175 (01) : 19 - 45

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