Asymptotic Behaviour and Estimates of Slowly Varying Convolution Semigroups-Reference-Cited by-同舟云学术

Asymptotic Behaviour and Estimates of Slowly Varying Convolution Semigroups

Published:2018-02-05 Issue:23 Volume:2019 Page:7193-7258
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Grzywny Tomasz¹,Ryznar Michał¹,Trojan Bartosz²

Affiliation:

1. Wydział Matematyki, Politechnika Wrocławska, Wrocław, Poland

2. Instytut Matematyczny, Uniwersytet Wrocławski, Wrocław, Poland

Abstract

Abstract We study the asymptotic formulas and estimates for the transition densities of isotropic unimodal convolution semigroups of probability measures on $\mathbb{R}^{d}$ under the assumption that its Lévy–Khintchine exponent varies slowly. We derive some new estimates of the transition densities and Green functions.

Funder

National Science Centre

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2019/23/7193/31146224/rnx324.pdf

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