Spectrum of Ornstein-Uhlenbeck Operators in Lp Spaces with Respect to Invariant Measures
Spectrum of Ornstein-Uhlenbeck Operators in Lp Spaces with Respect to Invariant Measures
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DOI：
10.1006/jfan.2002.3978
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发表时间：
2002-12
影响因子：
1.7
通讯作者：
G. Metafune;D. Pallara;E. Priola
中科院分区：
文献类型：
--
作者：
G. Metafune;D. Pallara;E. Priola
摘要 设 A =Σ i , j =1 N q ij D ij +Σ i , j =1 N b ij x j Di 为 R N 中可能退化的 Ornstein-Uhlenbeck 算子，并假设关联的马尔可夫半群具有不变测度 μ 。我们计算 L μ p 中 A 的谱，其中 1⩽ p
Abstract Let A =∑ i , j =1 N q ij D ij +∑ i , j =1 N b ij x j D i be a possibly degenerate Ornstein–Uhlenbeck operator in R N and assume that the associated Markov semigroup has an invariant measure μ . We compute the spectrum of A in L μ p for 1⩽ p