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Finite speed of propagation and off-diagonal bounds for Ornstein?Uhlenbeck operators in infinite dimensions

van Neerven, Jan; Portal, Pierre

Description

We study the Hodge–Dirac operators (Formula presented.) associated with a class of non-symmetric Ornstein–Uhlenbeck operators (Formula presented.) in infinite dimensions. For (Formula presented.) we prove that (Formula presented.) generates a (Formula presented.)-group in (Formula presented.) with respect to the invariant measure if and only if (Formula presented.) and (Formula presented.) is self-adjoint. An explicit representation of this (Formula presented.)-group in (Formula presented.) is...[Show more]

dc.contributor.authorvan Neerven, Jan
dc.contributor.authorPortal, Pierre
dc.date.accessioned2016-02-24T22:41:20Z
dc.identifier.issn0373-3114
dc.identifier.urihttp://hdl.handle.net/1885/98646
dc.description.abstractWe study the Hodge–Dirac operators (Formula presented.) associated with a class of non-symmetric Ornstein–Uhlenbeck operators (Formula presented.) in infinite dimensions. For (Formula presented.) we prove that (Formula presented.) generates a (Formula presented.)-group in (Formula presented.) with respect to the invariant measure if and only if (Formula presented.) and (Formula presented.) is self-adjoint. An explicit representation of this (Formula presented.)-group in (Formula presented.) is given, and we prove that it has finite speed of propagation. Furthermore, we prove (Formula presented.) off-diagonal estimates for various operators associated with (Formula presented.), both in the self-adjoint and the non-self-adjoint case.
dc.publisherSpringer
dc.sourceAnnali di Matematica Pura ed Applicata
dc.titleFinite speed of propagation and off-diagonal bounds for Ornstein?Uhlenbeck operators in infinite dimensions
dc.typeJournal article
local.description.notesImported from ARIES
dc.date.issued2015
local.identifier.absfor010107 - Mathematical Logic, Set Theory, Lattices and Universal Algebra
local.identifier.ariespublicationU3488905xPUB6634
local.type.statusPublished Version
local.contributor.affiliationvan Neerven, Jan, Delft University of Technology
local.contributor.affiliationPortal, Pierre, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage27
local.identifier.doi10.1007/s10231-015-0541-8
dc.date.updated2016-02-24T10:11:13Z
local.identifier.scopusID2-s2.0-84945530624
CollectionsANU Research Publications

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