Abstract.
In this paper we consider weighted boundary behaviour of -harmonic functions on the unit ball of . In particular, we show that a measure on the unit sphere of admits a component along the non-isotropic Hausdorff measure on that sphere and that this component gives rise to certain weighted boundary behaviour of the -harmonic extension of the original measure.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
(Received 24 July 2000; in revised form 10 August 2001)
Rights and permissions
About this article
Cite this article
Jaming, P., Roginskaya, M. Boundary Behaviour of -Harmonic Functions and Non-Isotropic Hausdorff Measure. Mh Math 134, 217–226 (2002). https://doi.org/10.1007/s605-002-8258-9
Issue Date:
DOI: https://doi.org/10.1007/s605-002-8258-9