An equivalence theorem for a K-functional constructed by Beltrami-Laplace operator on symmetric spaces

被引：6

作者：

El Ouadih, S. ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Lab MC, Polydisciplinary Fac Safi, Marrakech, Morocco

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 04期

关键词：

Symmetric space; Helgason Fourier transform; Generalized translation operator; Spherical modulus of smoothness; K-Functional; FOURIER-TRANSFORM; INTERPOLATION; SOBOLEV; MODULI; BESOV;

D O I：

10.1007/s11868-020-00326-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to establish the equivalence between a K-functional and a spherical modulus of smoothness generated by Beltrami-Laplace operator Lambda on noncompact rank 1 Riemannian symmetric spaces.

引用

页码：1951 / 1962

页数：12

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