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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
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.
The results were obtained jointly with Andrzej Stós.
