Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation
type: Distribution
access URL: https://hal.science/hal-00667276
format: HTML
issued: 2026-05-24T18:51:40.176899
modified: 2026-05-24T18:51:40.118557

test_moissonnage_selune
type: Agent

Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation
type: Dataset
contact point: Organization
  fn: CCSD
keyword: gradient-perturbation
keyword: relative-fatou-theorem
keyword: martin-representation
keyword: mathmath-prmathematics-mathprobability-mathpr
keyword: infoeu-reposemanticspreprint
keyword: ornstein-uhlenbeck-stable-process
keyword: 60j50-60j75-60j45-42b30-31b25-30h10
keyword: fractional-laplacian
keyword: preprints-working-papers-
landing page: https://hal.science/hal-00667276
description: Let $L=\Delta^{\alpha/2}+ b\cdot\nabla$ with $\alpha\in(1,2)$. We prove the Martin representation and the Relative Fatou Theorem for non-negative singular $L$-harmonic functions on ${\mathcal C}^{1,1}$ bounded open sets.
issued: 2026-05-24T18:51:40.165961
language: en
modified: 2026-05-24T18:51:40.165969