Harmonic functions on balls for x-dependent rectilinear stable processes
Analysis of PDEs
2026-03-05 v1 Probability
Abstract
We obtain sharp estimates for functions harmonic with respect to -dependent rectilinear stable processes in balls, under the assumption that the Dirichlet exterior data are radial about the center. The main idea of the proof is based on the construction of global barrier functions for the -dependent rectilinear fractional Laplacian in balls.
Keywords
Cite
@article{arxiv.2603.04164,
title = {Harmonic functions on balls for x-dependent rectilinear stable processes},
author = {Tadeusz Kulczycki and Michał Ryznar},
journal= {arXiv preprint arXiv:2603.04164},
year = {2026}
}