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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we study the boundary limit properties of harmonic functions on$\mathbb R_+\times K$, the solutions $u(t,x)$ to the Poisson equation \[\frac{\partial^2 u}{\partial t^2} + \Delta u = 0, \] where $K$ is a p.c.f. setand $\Delta$ its Laplacian given by a regular harmonic structure. Inparticular, we prove the existence of nontangential limits of the correspondingPoisson integrals, and the analogous results of the classical Fatou theoremsfor bounded and nontangentially bounded harmonic functions.

Nontangential limits and Fatou-type theorems on post-critically finite self-similar sets