SOME GLOBAL SOBOLEV INEQUALITIES RELATED TO KOLMOGOROV-TYPE OPERATORS

被引：0

作者：

Tralli, Giulio ^{[1
]}

机构：

[1] Univ Padua, DICEA, Via Marzolo 9, I-35131 Padua, Italy

来源：

BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR | 2020年 / 11卷 / 01期

关键词：

Global a priori estimates; Kolmogorov-Fokker-Planck diffusion; fractional powers of hypoelliptic operators; FOKKER-PLANCK EQUATIONS; HARNACK INEQUALITY; REGULARITY; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we review a recent result in [17] in collaboration with N. Garofalo, where we establish global versions of Hardy-Littlewood-Sobolev inequalities attached to hypoelliptic equations of Kolmogorov type. The relevant Sobolev spaces are defined through the fractional powers of the operator under consideration. We outline the main steps of the semigroup approach we adopt.

引用

页码：143 / 156

页数：14

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