Harmonic Besov and Triebel-Lizorkin Spaces on the Ball

被引：3

作者：

Ivanov, Kamen ^{[1
]}

Petrushev, Pencho ^{[2
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

[2] Univ South Carolina, Dept Math, Columbia, SC 29208 USA

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 05期

关键词：

Harmonic functions; Spherical harmonics; Besov spaces; Triebel-Lizorkin spaces; Needlets; LIPSCHITZ-SPACES; UNIT-SPHERE; DECOMPOSITION; DISTRIBUTIONS; SURFACE;

D O I：

10.1007/s00041-016-9499-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Harmonic Besov and Triebel-Lizorkin spaces on the unit ball in with full range of parameters are introduced and studied. It is shown that these spaces can be identified with respective Besov and Triebel-Lizorkin spaces of distributions on the sphere. Frames consisting of harmonic functions are also developed and frame characterization of the harmonic Besov and Triebel-Lizorkin spaces is established.

引用

页码：1062 / 1096

页数：35

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