Hardy-Sobolev spaces associated with Hermite expansions and interpolation

被引：5

作者：

Huang, Jizheng ^{[1
]}

机构：

[1] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 157卷

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

Hermite expansions; Hardy space; Riesz transform; Sobolev space; RIESZ TRANSFORMS; ATOMIC DECOMPOSITION; POTENTIALS; BMO;

D O I：

10.1016/j.na.2017.03.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A = -Delta + | x| (2) be a Hermite operator Delta where. is the Laplacian on R-d. In this paper, we first define the Hardy-Sobolev spaces associated with Hermite expansions, then we give the atomic decomposition and the real interpolation with Sobolev spaces. As an application, we consider the endpoint version of the div-curl theorem for the Hermite operator. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：104 / 122

页数：19

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