COMMUTANT LIFTING IN THE SCHUR-AGLER CLASS

被引：1

作者：

Barik, Sibaprasad ^{[1
]}

Bhattacharjee, Monojit ^{[2
]}

Das, B. Krishna ^{[3
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, POB 653, IL-8410501 Beer Sheva, Israel

[2] Birla Inst Technol & Sci Pilani, Dept Math, KK Birla Goa Campus, Pilani 403726, Goa, India

[3] Indian Inst Technol, Dept Math, Mumbai 400076, India

来源：

JOURNAL OF OPERATOR THEORY | 2024年 / 91卷 / 02期

基金：

以色列科学基金会;

关键词：

Commutant lifting; intertwining lifting; Schur-Agler functions; hypercontractions; Drury-Arveson space; weighted Bergman spaces; NEVANLINNA-PICK INTERPOLATION; VON-NEUMANN-INEQUALITY; KERNEL-HILBERT-SPACES; THEOREM; FACTORIZATIONS; MULTIPLIERS; DILATIONS;

D O I：

10.7900/jot.2022apr27.2372

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study commutant lifting theorems, more generally intertwining lifting theorems, for weighted Bergman spaces over the unit ball in C-n. In the particular case of the Hardy space over the unit disc and the Drury-Arveson space over the unit ball, our commutant lifting theorem provides an alternative proof of the classical commutant lifting theorems of Sarason and Ball, Trent and Vinnikov.

引用

页码：399 / 419

页数：21

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