Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Perfect sets of finite class without the extension property

100%

Goncharov A.

Studia Mathematica

1997

tom 126

nr 2

161-170

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.

Extension via interpolation

100%

Goncharov A.

Banach Center Publications

2005

tom 68

nr 1

43-49

We suggest a modification of the Pawłucki and Pleśniak method to construct a continuous linear extension operator by means of interpolation polynomials. As an illustration we present explicitly the extension operator for the space of Whitney functions given on the Cantor ternary set.

Ograniczanie wyników

1 Banach Center Publications

1 Studia Mathematica

2 Goncharov A.

1 2005

1 1997

Wyniki wyszukiwania

Perfect sets of finite class without the extension property

Extension via interpolation