代数调和稳定半群的正则性

IF 1.1 4区数学 Q1 MATHEMATICS

Ricerche di Matematica Pub Date : 2024-07-18 DOI:10.1007/s11587-024-00880-7

Chung-Sik Sin, Kwang-Chol Jo, Se-Ryong Kim

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引用次数: 0

摘要

在这封信中，我们讨论了非局部算子，它们是调和稳定过程的产生子。结果表明，对于任意 p （in [1,\infty )\），非局部算子生成的半群在\(L^p(\mathbb {R}^d)\)中是解析的。尤其是，这个结果不仅对指数节制的稳定过程成立，而且对代数节制的稳定过程也成立。

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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Regularity of algebraically tempered stable semigroups

In the present letter, we deal with the nonlocal operators which are the generators of the tempered stable processes. It is shown that the semigroups generated by the nonlocal operators are analytic in \(L^p(\mathbb {R}^d)\) for any \(p \in [1,\infty )\). In particular, the result holds for not only exponentially tempered stable processes but also algebraically tempered ones.

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来源期刊

Ricerche di Matematica Mathematics-Applied Mathematics

CiteScore

3.00

自引率

8.30%

发文量

期刊介绍： “Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.