Several Hardy-type inequalities with weights related to Baouendi--Grushinoperators

Authors

ABDULLAH YENER

DOI

10.3906/mat-1802-18

Abstract

In this paper we shall prove several weighted $L^{p}$ Hardy-type inequalities associated to the Baouendi-Grushin-type operators $\Delta _{\gamma }=\Delta _{x}+\left\vert x\right\vert ^{2\gamma }\Delta _{y},$ where $\Delta _{x}$ and $\Delta _{y}$ are the classical Laplace operators in the variables $x\in \mathbb{R}^{n}$ and $y\in \mathbb{R}^{k},$ respectively, and $\gamma $ is a positive real number.

Keywords

Baouendi-Grushin operator, weighted Hardy inequality

First Page

3050

Last Page

3060

Recommended Citation

YENER, ABDULLAH (2018) "Several Hardy-type inequalities with weights related to Baouendi--Grushinoperators," Turkish Journal of Mathematics: Vol. 42: No. 6, Article 18. https://doi.org/10.3906/mat-1802-18
Available at: https://journals.tubitak.gov.tr/math/vol42/iss6/18