Strichartz estimates on the quaternion Heisenberg group

被引：13

作者：

Song, Naiqi ^{[1
]}

Zhao, Jiman ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Key Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2014年 / 138卷 / 02期

关键词：

LIE-GROUPS; SPECTRAL MULTIPLIERS; POLYNOMIAL-GROWTH; WAVE-EQUATIONS; BESOV-SPACES; INEQUALITIES; TRANSFORMS; DECAY;

D O I：

10.1016/j.bulsci.2013.06.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to prove dispersive estimates and the Strichartz estimates on the quaternion Heisenberg group. In order to obtain these results, we first study the properties of Fourier transform for radial functions and the Besov spaces, Sobolev spaces on the quaternion Heisenberg group, then we give the proofs for the main results. (c) 2013 Elsevier Masson SAS. All rights reserved.

引用

页码：293 / 315

页数：23

共 21 条

[1] SPECTRAL MULTIPLIERS ON LIE-GROUPS OF POLYNOMIAL-GROWTH [J].