Hardy-type inequalities associated with the Weinstein operator

被引：8

作者：

Mejjaoli, Hatem ^{[1
]}

机构：

[1] Taibah Univ Al Madinah Al Munawarah, Dept Math, Coll Sci, Taibah, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

Weinstein operators; Weinstein-Hardy spaces; Hardy-type inequalities; inhomogeneous Weinstein-Besov spaces; generalized Lorentz spaces; LAGUERRE EXPANSIONS; HP-SPACES; VARIABLES; HERMITE;

D O I：

10.1186/s13660-015-0779-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we define and we study the Hardy spaces associated with the Weinstein operator. We establish refined Sobolev inequalities between the homogeneous Weinstein-Besov spaces and many spaces, as the homogeneous Weinstein-Riesz spaces and the generalized Lorentz spaces. Next we prove Hardy-type inequalities in the homogeneous Weinstein-Besov space, homogeneous Weinstein-Riesz space, and Weinstein-Hardy space

引用

页数：17

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