Perfect sets of finite class without the extension property

• Autorzy: A. Goncharov
• Języki publikacji: EN

Abstrakty

EN

We prove that generalized Cantor sets of class α, α ≠ 2 have the extension property iff α < 2. Thus belonging of a compact set K to some finite class α cannot be a characterization for the existence of an extension operator. The result has some interconnection with potential theory.

Kategorie tematyczne

• 31A15: Potentials and capacity, harmonic measure, extremal length
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 126
• Numer: 2
• Strony: 161-170

Daty

wydano

1997

otrzymano

1997-01-07

poprawiono

1997-05-26

Twórcy

autor

A. Goncharov

• Department of Mathematics, Bilkent University, 06533 Ankara, Turkey
• Department of Mathematics, Civil Engineering University, Rostov-na-Donu, Russia

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