GLOBAL Lp ESTIMATES FOR DEGENERATE ORNSTEIN-UHLENBECK OPERATORS: A GENERAL APPROACH

被引：0
作者：
Lanconelli, Ermanno [1 ]
机构：
[1] Univ Bologna, Dipartimento Matemat, I-40126 Bologna, Italy
来源：
REVISTA DE LA UNION MATEMATICA ARGENTINA | 2011年 / 52卷 / 01期
关键词：
Sub-Elliptic operators; Sub-Laplacians on stratified Lie groups; Maximum Principles; Symmetry properties of solutions; SINGULAR-INTEGRALS; FUNDAMENTAL-SOLUTIONS; HEAT KERNEL; SPACES; RESPECT; SQUARES; L-2; SUM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new approach to prove global L-p estimates for degenerate Ornstein-Uhlenbeck operators in R-N. We then show how to pave the way to extend such a technique to classes of general Hormander operators. Several historical notes related to Calderon-Zyginund's singular integrals theory in Euclidean and in non-Euclidean settings are also provided.
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页码：57 / 72
页数：16
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