Toeplitz products with pluriharmonic symbols on the Hardy space over the ball

Choe, Boo Rim; Koo, Hyungwoon; Lee, Young Joo

doi:10.1016/j.jmaa.2011.03.023

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Toeplitz products with pluriharmonic symbols on the Hardy space over the ball

Choe, Boo Rim;
Koo, Hyungwoon;
Lee, Young Joo

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16

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17

초록

On the Hardy space over the unit ball in C(n), we consider operators which have the form of a finite sum of products of several Toeplitz operators. We study characterizing problems of when such an operator is compact or of finite rank. Some of our results show higher-dimensional phenomena. (C) 2011 Elsevier Inc. All rights reserved.

키워드

Zero product; Toeplitz operator; Pluriharmonic symbol; Hardy space; HARMONIC SYMBOLS; FINITE PRODUCTS; ZERO PRODUCTS; OPERATORS; POLYDISK; SUMS

제목: Toeplitz products with pluriharmonic symbols on the Hardy space over the ball

저자: Choe, Boo Rim; Koo, Hyungwoon; Lee, Young Joo

DOI: 10.1016/j.jmaa.2011.03.023

발행일: 2011-09-01

유형: Article

저널명: Journal of Mathematical Analysis and Applications

권: 381

호: 1

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