Scale invariant boundary Harnack principle at infinity for Feller processes

TL;DR

This paper establishes a scale-invariant boundary Harnack principle at infinity for a broad class of purely discontinuous Feller processes on metric measure spaces, advancing understanding of their boundary behavior.

Contribution

It introduces a uniform, scale-invariant boundary Harnack principle at infinity applicable to many Feller processes, extending previous boundary analysis results.

Findings

Proves a scale-invariant boundary Harnack principle at infinity.

Applicable to a large class of purely discontinuous Feller processes.

Enhances understanding of boundary behavior in metric measure spaces.

Abstract

In this paper we prove a uniform and scale invariant boundary Harnack principle at infinity for a large class of purely discontinuous Feller processes on metric measure spaces.