Poincaré inequality and related function spaces on fractals

Speaker(s)

Katarzyna Pietruska-Pałuba

Affiliation

Uniwersytet Warszawski

Date

Nov. 15, 2012, 12:15 p.m.

Room

room 3260

Seminar

Seminar of Probability Group

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Given a nondegenerate harmonic structure, we elementarily prove a Poincaré-type inequality for functions in the domain of the Dirichlet form on nested fractals, involving the Kusuoka energy measure. We then study the Hajłasz-Sobolev spaces on nested fractals.
The results were obtained jointly with Andrzej Stós.

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