Regularity of algebraically tempered stable semigroups

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-07-18 DOI:10.1007/s11587-024-00880-7

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

引用次数: 0

Abstract

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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代数调和稳定半群的正则性

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.