The weighted reproducing kernels of the Reinhardt domain

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2023-10-30 DOI:10.1080/17476933.2023.2272131

Qian Fu, Guantie Deng

引用次数: 0

Abstract

AbstractIn this paper, we develop the theory of weighted Bergman space and obtain a general representation formula of the Bergman kernel function for the spaces on the Reinhardt domain containing the origin. As applications, we calculate the concrete forms of the Bergman kernels for some special weights on the Reinhardt domains Cn, Dn,m:={(z,w)∈Cn×Cm:‖w‖2

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Reinhardt域的加权再现核

摘要本文发展了加权Bergman空间理论，得到了包含原点的Reinhardt域上空间的Bergman核函数的一般表示公式。作为应用，我们计算了Reinhardt域Cn, Dn,m:={(z,w)∈Cn×Cm:‖w‖2

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.

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