COMPACT TOEPLITZ OPERATORS ON Ap (φ)(1p<∞)

数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (1): 56-64.

COMPACT TOEPLITZ OPERATORS ON A^p (φ)(1<p<∞)

肖杰

Dept. of Math., Peking Univ., Beijing 100871, China

收稿日期:1991-05-10 出版日期:1993-03-25 发布日期:1993-03-25
基金资助:
Supported by Doctoral Program Foundation of Higher Education.

COMPACT TOEPLITZ OPERATORS ON A^p (φ)(1<p<∞)

Xiao Jie

Dept. of Math., Peking Univ., Beijing 100871, China

Received:1991-05-10 Online:1993-03-25 Published:1993-03-25
Supported by:
Supported by Doctoral Program Foundation of Higher Education.

摘要/Abstract

摘要： Let φ be a normal function defined on[0, 1) and A^p(φ) Bergman space weighted with φ^p(|z|)/(1-|z|²) for 1 ≤ p<∞. The compactnesses of Toeplitz operaters on A^p(φ) are characterized by Carleson measures and operator algebra.

肖杰. COMPACT TOEPLITZ OPERATORS ON A^p (φ)(1<p<∞)[J]. 数学物理学报(英文版), 1993, 13(1): 56-64.

Xiao Jie. COMPACT TOEPLITZ OPERATORS ON A^p (φ)(1<p<∞)[J]. Acta mathematica scientia,Series B, 1993, 13(1): 56-64.

COMPACT TOEPLITZ OPERATORS ON A^p (φ)(1<p<∞)

COMPACT TOEPLITZ OPERATORS ON A^p (φ)(1<p<∞)

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COMPACT TOEPLITZ OPERATORS ON A^p (φ)(1<p<∞)

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