完全正SIGMA-FINITE测度空间LP上对称扩散半群无穷小生成元域的显式刻画

IF 0.1 Q4 MATHEMATICS Real Analysis Exchange Pub Date : 2021-11-01 DOI:10.14321/REALANALEXCH.46.2.0345

Maxim J. Goldberg, Seonja Kim

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引用次数: 1

摘要

设X是一个完全正σ-有限测度空间{At}t≥0是Lp（X）上收缩算子的对称扩散半群。我们证明了对于1本文章由计算机程序翻译，如有差异，请以英文原文为准。

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AN EXPLICIT CHARACTERIZATION OF THE DOMAIN OF THE INFINITESIMAL GENERATOR OF A SYMMETRIC DIFFUSION SEMIGROUP ON LP OF A COMPLETE POSITIVE SIGMA-FINITE MEASURE SPACE

Let X be a complete positive σ–finite measure space and {At}t≥0 be a symmetric diffusion semigroup of contraction operators on Lp(X). We prove that for 1

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