Weighted Harmonic Bloch Spaces on the Ball

被引：11

作者：

Dogan, Omer Faruk ^{[1
]}

Ureyen, A. Ersin ^{[2
]}

机构：

[1] Namik Kemal Univ, Dept Math, TR-59030 Tekirdag, Turkey

[2] Anadolu Univ, Dept Math, TR-26470 Eskisehir, Turkey

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2018年 / 12卷 / 05期

关键词：

Harmonic Bloch space; Bergman space; Reproducing kernel; Radial fractional derivative; Bergman projection; Duality; Gleason problem; Atomic decomposition; Oscillatory characterization; UNIT BALL; BESOV-SPACES; REPRODUCING KERNELS; BERGMAN PROJECTIONS; LIPSCHITZ;

D O I：

10.1007/s11785-017-0645-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the family of weighted harmonic Bloch spaces , on the unit ball of . We provide characterizations in terms of partial and radial derivatives and certain radial differential operators that are more compatible with reproducing kernels of harmonic Bergman-Besov spaces. We consider a class of integral operators related to harmonic Bergman projection and determine precisely when they are bounded on . We define projections from to and as a consequence obtain integral representations. We solve the Gleason problem and provide atomic decomposition for all . Finally we give an oscillatory characterization of when -1.

引用

页码：1143 / 1177

页数：35

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