p Harmonic Measure in Simply Connected Domains

Simple item page
dc.creatorLewis, John
dc.creatorNyström, Kaj
dc.creatorPoggi-Corradini, Pietro
dc.date2009-01-30
dc.date.accessioned2026-07-07T12:36:47Z
dc.date.available2026-07-07T12:36:47Z
dc.descriptionWe extend to all planar simply connected domains Makarov-type results about the Hausdorff dimension of $p$-harmonic measure pioneered by Lewis and Bennewitz in the context of quasidisks. The key to our analysis is a gradient estimate using the distance to the boundary and constants that only depend on $p$. This is achieved by studying the conformal map from the unit disk to the simply connected domain to construct good quasicurves from a point in the domain to the boundary.
dc.identifierhttps://arxiv.org/abs/0902.0013
dc.identifierhttp://arxiv.org/abs/0902.0013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218215
dc.subjectComplex Variables
dc.subjectAnalysis of PDEs
dc.subject35J25, 35J70
dc.titlep Harmonic Measure in Simply Connected Domains
dc.typetext

Files

Collections

arXiv