A boundary Harnack principle in twisted Hölder domains

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dc.contributor.authorBurdzy, Krzysztof
dc.contributor.authorBass, Richard F.
dc.date.accessioned2005-11-18T18:05:57Z
dc.date.available2005-11-18T18:05:57Z
dc.date.issued1991-09
dc.description.abstractThe boundary Harnack principle for the ratio of positive harmonic functions is shown to hold in twisted Hölder domains of order [alpha] for [alpha is an element of the set](1/2, 1]. For each [alpha is an element of the set] (0, 1/2), there exists a twisted Hölder domain of order [alpha] for which the boundary Harnack principle fails. Extensions are given to L-harmonic functions for uniformly elliptic operators L in divergence form.en
dc.description.sponsorshipResearch partially supported by NSF grants DMS–8822053 and DMS–8901255.en
dc.format.extent196885 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationBass, R.F. & K. Burdzy. (1991). A boundary Harnack principle in twisted Hölder domains. Annals of Mathematics, 134(2), 253-276.en
dc.identifier.urihttp://hdl.handle.net/1773/2169
dc.language.isoen_US
dc.publisherAnnals of Mathematicsen
dc.subjectboundary Harnack principleen
dc.subjectHölder domainsen
dc.subjecttwisted Hölder domainsen
dc.subjectconditioned Brownian motionen
dc.subjecth-processesen
dc.subjectharmonic functionsen
dc.subjectHarnack principleen
dc.titleA boundary Harnack principle in twisted Hölder domainsen
dc.title.alternativeBoundary Harnack principleen
dc.typeArticleen

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