REPRODUCING KERNELS OF WEIGHTED POLY-BERGMAN SPACES ON THE UPPER HALF-PLANE

被引：0

作者：

Ortega, Josue Ramirez ^{[1
]}

机构：

[1] Univ Veracruzana, Fac Matemat, Xalapa 91000, Veracruz, Mexico

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2007年 / 13卷 / 02期

关键词：

poly-Bergman spaces; reproducing kernels;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Pi be the upper half-plane. The weighted poly-Bergman spaces on Pi consist of all functions on L-2(Pi, (lambda+ 1)(2y)(lambda)dx dy) satisfying the equation (partial derivative/partial derivative(z) over bar)(n)f = 0. Reproducing kernels of the weighted poly-Bergman spaces are obtained via the Fourier transform.

引用

页码：345 / 356

页数：12

共 50 条

[31] On the structure of Bergman and poly-Bergman spaces
N. L. Vasilevski
Integral Equations and Operator Theory, 1999, 33 : 471 - 488
[32] C*-Algebra Generated by Angular Toeplitz Operators on the Weighted Bergman Spaces Over the Upper Half-Plane
Kevin Esmeral
Egor A. Maximenko
Nikolai Vasilevski
Integral Equations and Operator Theory, 2015, 83 : 413 - 428
[33] C*-Algebra Generated by Angular Toeplitz Operators on the Weighted Bergman Spaces Over the Upper Half-Plane
Esmeral, Kevin
Maximenko, Egor A.
Vasilevski, Nikolai
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2015, 83 (03) : 413 - 428
[34] On the structure of Bergman and poly-Bergman spaces
Vasilevski, NL
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1999, 33 (04) : 471 - 488
[35] 2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane
Xue, Yan-Fu
Jiang, Zhi-Jie
Huang, Cheng-Shi
COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (07)
[36] 2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane
Yan-Fu Xue
Zhi-Jie Jiang
Cheng-Shi Huang
Complex Analysis and Operator Theory, 2023, 17
[37] Reproducing Kernels for Iterated Parabolic Operators on the Upper Half Space with Application to Polyharmonic Bergman Spaces
Nishio, Masaharu
Shimomura, Katsunori
COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (08) : 1865 - 1878
[38] Reproducing Kernels for Iterated Parabolic Operators on the Upper Half Space with Application to Polyharmonic Bergman Spaces
Masaharu Nishio
Katsunori Shimomura
Complex Analysis and Operator Theory, 2017, 11 : 1865 - 1878
[39] WEIGHTED COMPOSITION OPERATORS BETWEEN GROWTH SPACES OF THE UPPER HALF-PLANE
Stevic, Stevo
Sharma, Ajay K.
UTILITAS MATHEMATICA, 2011, 84 : 265 - 272
[40] Bounded operators on weighted spaces of holomorphic functions on the upper half-plane
Ardalani, Mohammad Ali
Lusky, Wolfgang
STUDIA MATHEMATICA, 2012, 209 (03) : 225 - 234

← 1 2 3 4 5 →