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Differentiable Peano Cubes

Prelegent(ci)
Piotr Hajłasz
Afiliacja
University of Pittsburgh
Termin
14 maja 2009 12:30
Pokój
p. 4060
Seminarium
Seminarium Zakładu Równań Fizyki Matematycznej

In the talk I will discuss a problem of finding regular mappings from an n-dimensional cube onto a metric space. The problem is related to the classical Peano curve problem, but now we require that the mappings have higher regularity: Holder continuity, Lipschitz continuity, Sobolev regularity or even smoothness in a classical sense. The talk is based on my joint work with Jeremy Tyson.