Complex Interpolation Between Two Mixed Norm Bergman Spaces in Tube Domains Over Homogeneous Cones

被引：1

作者：

Gonessa, Jocelyn ^{[1
]}

Mbapte, Rostand Franck ^{[2
]}

Nana, Cyrille ^{[2
]}

机构：

[1] Univ Bangui, Dept Math & Informat, Fac Sci, BP 908, Bangui, Cent Afr Republ

[2] Univ Buea, Fac Sci, Dept Math, 63, Buea, Cameroon

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2023年 / 17卷 / 05期

关键词：

Homogeneous cones; T-algebras; Complex method of interpolation; Bergman spaces; Whitney decomposition; L-P-BOUNDEDNESS; SIEGEL DOMAINS; PROJECTIONS;

D O I：

10.1007/s11785-023-01365-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use a family of atomic decomposition operators to determine an explicit function realising the complex interpolation between two mixed norm weighted Bergman spaces in tube domains over open convex homogneous cones. Our results extend and improve earlier work from (Bykolly et al. in C R Acad Sci Paris Ser I(337):13-18, 2003), where the problem was considered for scalar powers a = (a, ... , a) and symmetric cones O.

引用

页数：30

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