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BV functions and Besov spaces associated with Dirichlet spaces

Preprint

Author(s): Patricia Alonso-Ruiz , Fabrice Baudoin , Li Chen , Naotaka Kajino , Luke Rogers , Nageswari Shanmugalingam , Alexander Teplyaev

Publication date Created: 09 June 2018

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Abstract

We develop a theory of bounded variation functions and Besov spaces in abstract Dirichlet spaces which unifies several known examples and applies to new situations, including fractals.

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Most cited references 16

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Brownian motion on the Sierpinski gasket

Martin Barlow, Edwin A. Perkins (1988)

0 comments Cited 103 times – based on 0 reviews      Review now

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Transition densities for Brownian motion on the Sierpinski carpet

Martin Barlow, Richard Bass (1992)

0 comments Cited 27 times – based on 0 reviews      Review now

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What Is Not in the Domain of the Laplacian on Sierpinski Gasket Type Fractals

Oren Ben-Bassat, Robert S. Strichartz, Alexander Teplyaev (1999)

0 comments Cited 27 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 09 June 2018

Article

ArXiV ID: 1806.03428

SO-VID: 4a7b60c8-bf04-458c-aea9-131117b79c65

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

Custom metadata

ACM classes 31C25, 46E35, 26A45, 28A80, 60J45

Comments 121 pages, several figures

Categories math.FA math.AP math.MG math.PR

ScienceOpen disciplines: Analysis,Functional analysis,Probability,Geometry & Topology

Data availability:

ScienceOpen disciplines: Analysis, Functional analysis, Probability, Geometry & Topology

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