English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we study transition density functions for pure jump unimodal Lévy processes killed upon leaving an open set   D  . Under some mild assumptions on the Lévy density, we establish two‐sided Dirichlet heat kernel estimates when the open set   D   is    C   1  ,  1    . Our result covers the case that the Lévy densities of unimodal Lévy processes are regularly varying functions whose indices are equal to the Euclidean dimension. This is the first results on two‐sided Dirichlet heat kernel estimates for Lévy processes such that the lower scaling index of the Lévy densities is not necessarily strictly bigger than the Euclidean dimension.

Estimates of Dirichlet heat kernels for unimodal Lévy processes with low intensity of small jumps