THE THEORY OF HARDY-SOBOLEV SPACES OVER THE UPPER HALF-PLANE

被引：0

作者：

Liu, Detian ^{[1
]}

Li, Haichou ^{[1
]}

Kou, Kit ian ^{[2
]}

Qu, Wei ^{[3
]}

机构：

[1] South China Agr Univ, Coll Math & Informat, Guangzhou 510640, Peoples R China

[2] Univ Macau, Dept Math, Macau, Peoples R China

[3] Guangzhou Med Univ, Affiliated Hosp 1, State Key Lab Resp Dis, Guangzhou 510120, Peoples R China

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2025年 / 9卷 / 02期

关键词：

Holomorphic Fourier transform; Hardy-Sobolev spaces; Paley-Wiener theorem; Reproduc- ing kernel; Weighted composition operator; COMPOSITION OPERATORS;

D O I：

10.23952/jnva.9.2025.2.05

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We mainly investigate some results of Hardy-Sobolev spaces on the upper half-plane. In this paper, the Paley-Wiener theorem of Hardy-Sobolev spaces is established. The theorem asserts that the reproducing kernel of the Hardy-Sobolev spaces can be found. On account of this, the estimation of the reproducing kernel is produced. We also consider the multiplication operators on the spaces, and the spectrum of multiplication operators is characterized. In addition, the condition for the boundedness of weighted composition operators can be founded by applying the property of self-maps and the reproducing kernel.

引用

页码：247 / 262

页数：16

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