多变量递归加权移位与2变量次正态补全问题

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2018-01-01 DOI:10.5666/KMJ.2018.58.4.711

K. Idrissi, E. Zerouali

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引用次数: 1

摘要

本文给出了求解2变量次正规补全问题(简称SCP)的一种新方法。为此，我们将R. Curto和L. Fialkow引入的递归生成加权位移的概念扩展到2变量的情况。接下来，我们给出了具有最小Berger测度的2变量SCP解存在的“具体”充要条件。此外，对2变量的次正规加权位移的传播现象，给出了一个简短的替代证明。

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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Multivariable Recursively Generated Weighted Shifts and the 2-variable Subnormal Completion Problem

In this paper, we give a new approach to solving the 2-variable subnormal completion problem (SCP for short). To this aim, we extend the notion of recursively generated weighted shifts, introduced by R. Curto and L. Fialkow, to 2-variable case. We next provide ”concrete” necessary and sufficient conditions for the existence of solutions to the 2-variable SCP with minimal Berger measure. Furthermore, a short alternative proof to the propagation phenomena, for the subnormal weighted shifts in 2-variable, is given.

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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.