Compact Toeplitz operators on parabolic Bergman spaces

被引：6

作者：

Nishio, Masaharu ^{[1
]}

Suzuki, Noriaki ^{[2
]}

Yamada, Masahiro ^{[3
]}

机构：

[1] Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan

[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

[3] Gifu Univ, Fac Educ, Dept Math, Gifu 5011193, Japan

来源：

HIROSHIMA MATHEMATICAL JOURNAL | 2008年 / 38卷 / 02期

基金：

日本学术振兴会;

关键词：

Carleson measure; Toeplitz operator; heat equation; parabolic operator of fractional order; Bergman space; compact operator;

D O I：

10.32917/hmj/1220619455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Parabolic Bergman space b(alpha)(p) is a Banach space of all p-th integrable solutions of a parabolic equation (partial derivative/partial derivative t + (-Delta)(alpha))u = 0 on the upper half space, where 0 < alpha <= 1 and 1 <= p < infinity. In this note, we consider the Toeplitz operator from b(alpha)(p) to b(alpha)(q) a where p <= q, and discuss the condition that it be compact.

引用

页码：177 / 192

页数：16

共 6 条

[1] Positive Toeplitz operators between the harmonic Bergman spaces [J].

Choe, BR ;

Koo, H ;

Yi, HS .

POTENTIAL ANALYSIS, 2002, 17 (04) :307-335

[2]

Nishio M, 2005, OSAKA J MATH, V42, P133

[3]

NISHIO M, 2000, NZ J MATH, V29, P47

[4]

NISHIO M, HOKKAIDO MA IN PRESS

[5] Carleson type measures on parabolic Bergman spaces - Dedicated to Professor Takahiko Nakazi on his sixtieth birthday [J].

Nishio, Masaharu ;

Yamada, Masahiro .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2006, 58 (01) :83-96

[6] HANKEL-TOEPLITZ TYPE OPERATORS ON L1A(OMEGA) [J].

ZHU, K .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 1990, 13 (02) :285-302

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