The Martin boundary in non-Lipschitz domains

dc.contributor.authorBurdzy, Krzysztof
dc.contributor.authorBass, Richard F.
dc.date.accessioned2005-11-18T18:43:15Z
dc.date.available2005-11-18T18:43:15Z
dc.date.issued1993
dc.description.abstractThe Martin boundary with respect to the Laplacian and with respect to uniformly elliptic operators in divergence form can be identified with the Euclidean boundary in C [to the power of gamma] domains, where [gamma](x) = bx log log(1/x)/ log log log(1/x), b small. A counterexample shows that this result is very nearly sharp.en
dc.description.sponsorshipResearch partially supported by NSF grants DMS 88–22053 and DMS 89–01255.en
dc.format.extent248749 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationBass, R.F. & K. Burdzy. (1993). The Martin boundary in non-Lipschitz domains. Transactions of the American Mathematical Society, 337, 361-378.en
dc.identifier.urihttp://hdl.handle.net/1773/2172
dc.language.isoen_US
dc.publisherAmerican Mathematical Societyen
dc.subjectMartin boundaryen
dc.subjectMartin kernelen
dc.subjectharmonic functionsen
dc.subjectminimal harmonicen
dc.subjectdivergence form operatorsen
dc.subjectconditioned Brownian motionen
dc.subjecth-processesen
dc.titleThe Martin boundary in non-Lipschitz domainsen
dc.typeArticleen

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