Poincaré inequality and related function spaces on fractals

Prelegent(ci)

Katarzyna Pietruska-Pałuba

Afiliacja

Uniwersytet Warszawski

Termin

15 listopada 2012 12:15

Pokój

p. 3260

Seminarium

Seminarium Zakładu Rachunku Prawdopodobieństwa

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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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