Rectifiability of harmonic measure

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Utilizad este identificador para citar o enlazar este documento: http://hdl.handle.net/2072/445764

dc.contributor.author	Azzam, J.
dc.contributor.author	Hofmann, S.
dc.contributor.author	Martell, J.M.
dc.contributor.author	Mayboroda, S.
dc.contributor.author	Mourgoglou, M.
dc.contributor.author	Tolsa, X.
dc.contributor.author	Volberg, A.
dc.date.accessioned	2021-03-18T23:44:03Z
dc.date.available	2021-03-18T23:44:03Z
dc.date.created	2016-01-01
dc.date.issued	2016-01-01
dc.identifier.uri	http://hdl.handle.net/2072/445764
dc.format.extent	22 p.
dc.language.iso	eng
dc.publisher	Birkhauser Verlag AG
dc.source	RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other	51
dc.title	Rectifiability of harmonic measure
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.embargo.terms	12 mesos
dc.identifier.doi	10.1007/s00039-016-0371-x
dc.rights.accessLevel	info:eu-repo/semantics/openAccess
dc.description.abstract	In the present paper we prove that for any open connected set Ω ⊂ Rn+1, n≥ 1 , and any E⊂ ∂Ω with Hn(E) < ∞, absolute continuity of the harmonic measure ω with respect to the Hausdorff measure on E implies that ω\| E is rectifiable. This solves an open problem on harmonic measure which turns out to be an old conjecture even in the planar case n= 1. © 2016, Springer International Publishing.

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Azzam, J.; Hofmann, S.; Martell, J.M.; Mourgoglou, M.; Tolsa, X.

Azzam, J.; Mourgoglou, M.

Azzam, J.; Mourgoglou, M.

Molero, A.; Mourgoglou, M.; Puliatti, C.; Tolsa, X.

Chunaev, P.; Mateu, J.; Tolsa, X.

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