Change of variables for weighted Hardy spaces on a domain

被引：0

作者：

Miyachi, Akihiko ^{[1
]}

机构：

[1] Tokyo Womans Christian Univ, Dept Math, Suginami Ku, Tokyo 1678585, Japan

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2009年 / 38卷 / 03期

关键词：

weighted Hardy space; conformal mapping; HP SPACES;

D O I：

10.14492/hokmj/1258553975

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalized version of weighted Hardy spaces on a Euclidean domain is introduced and it is proved that the spaces are transformed to the same kind of spaces by certain smooth change of variables. Some related properties of the spaces, including a modified form of atomic decomposition, and sonic examples are also given.

引用

页码：519 / 555

页数：37

共 50 条

[41] Three Classification Results in the Theory of Weighted Hardy Spaces on the Ball [J].

Ofek, Danny ;

Sofer, Gilad .

COMPLEX ANALYSIS AND OPERATOR THEORY, 2021, 15 (04)

[42] ESSENTIAL NORM OF GENERALIZED COMPOSITION OPERATORS ON WEIGHTED HARDY SPACES [J].

Sharma, Ajay K. .

OPERATORS AND MATRICES, 2014, 8 (02) :399-409

[43] Extended Spectra for Some Composition Operators on Weighted Hardy Spaces [J].

I. F. Z. Bensaid ;

F. León-Saavedra ;

P. Romero de la Rosa .

Functional Analysis and Its Applications, 2022, 56 :81-85

[44] Duality theory of weighted Hardy spaces with arbitrary number of parameters [J].

Lu, Guozhen ;

Ruan, Zhuoping .

FORUM MATHEMATICUM, 2014, 26 (05) :1429-1457

[45] Three Classification Results in the Theory of Weighted Hardy Spaces on the Ball [J].

Danny Ofek ;

Gilad Sofer .

Complex Analysis and Operator Theory, 2021, 15

[46] ON GENERALIZATION OF PALEY-WIENER THEOREM FOR WEIGHTED HARDY SPACES [J].

Vinnitskii, B. V. ;

Dilnyi, V. N. .

UFA MATHEMATICAL JOURNAL, 2013, 5 (04) :30-36

[47] Essential norm of composition operators between weighted Hardy spaces [J].

Stevic, Stevo ;

Sharma, Ajay K. .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (13) :6192-6197

[48] Adjoints of linear fractional composition operators on weighted Hardy spaces [J].

Čučković Z. ;

Le T. .

Acta Scientiarum Mathematicarum, 2016, 82 (3-4) :651-662

[49] Riesz transforms associated to Schrodinger operators on weighted Hardy spaces [J].

Song, Liang ;

Yan, Lixin .

JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (06) :1466-1490

[50] The weighted Hardy spaces associated to self-adjoint operators and their duality on product spaces [J].

Liu, Suying ;

Yang, Minghua .

CZECHOSLOVAK MATHEMATICAL JOURNAL, 2018, 68 (02) :415-431

← 1 2 3 4 5 →