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Heat kernel estimates and Riesz transforms on some Riemannian covering manifolds

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dc.contributor.authorDungey, Nicholas
dc.date.accessioned2015-12-13T22:55:28Z
dc.date.issued2004
dc.date.updated2015-12-11T11:10:47Z
dc.description.abstractConsider a Riemannian manifold M which is a Galois covering of a compact manifold, with nilpotent deck transformation group G. For the Laplace operator on M, we prove a precise estimate for the gradient of the heat kernel, and show that the Riesz transforms are bounded in LP(M), 1 < p < ∞. We also obtain estimates for discrete oscillations of the heat kernel, and boundedness of discrete Riesz transform operators, which are defined using the action of G on M.
dc.identifier.issn0025-5874
dc.identifier.urihttp://hdl.handle.net/1885/82548
dc.publisherSpringer
dc.sourceMathematische Zeitschrift
dc.titleHeat kernel estimates and Riesz transforms on some Riemannian covering manifolds
dc.typeJournal article
local.bibliographicCitation.issue4
local.bibliographicCitation.lastpage794
local.bibliographicCitation.startpage765
local.contributor.affiliationDungey, Nicholas, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidDungey, Nicholas, u9704610
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010201 - Approximation Theory and Asymptotic Methods
local.identifier.ariespublicationMigratedxPub10802
local.identifier.citationvolume247
local.identifier.doi10.1007/s00209-003-0646-4
local.identifier.scopusID2-s2.0-3543022702
local.type.statusPublished Version

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