Global L^p estimates for degenerate Ornstein¨CUhlenbeck operators

详细信息    查看全文

• 作者：Marco Bramanti ; Giovanni Cupini ; Ermanno Lanconelli and Enrico Priola
• 关键词：Ornstein– ; Uhlenbeck operators ; Global L p ; estimates ; Hypoelliptic operators ; Singular integrals ; Nonhomogeneous spaces
• 刊名：Mathematische Zeitschrift
• 出版年：2010
• 出版时间：December 2010
• 年：2010
• 卷：266
• 期：4
• 页码：789-816
• 全文大小：331.9 KB

文摘

We consider a class of degenerate Ornstein–Uhlenbeck operators in \mathbbRN{\mathbb{R}^{N}} , of the kind A o ?_{i, j=1}p₀a_ij?_xixj2 + ?_{i, j=1}Nb_ijx_i?_xj\mathcal{A}\equiv\sum_{i, j=1}^{p_{0}}a_{ij}\partial_{x_{i}x_{j}}^{2} + \sum_{i, j=1}^{N}b_{ij}x_{i}\partial_{x_{j}}