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A note on integral representation of Feller kernels

100%

Rębowski R.

Annales Polonici Mathematici

1991-1992

tom 56

nr 1

93-96

We consider integral representations of Feller probability kernels from a Tikhonov space X into a Hausdorff space Y by continuous functions from X into Y. From the existence of such a representation for every kernel it follows that the space X has to be 0-dimensional. Moreover, both types of representations coincide in the metrizable case when in addition X is compact and Y is complete. It is also proved that the representation of a single kernel is equivalent to the existence of some non-direct product measure on the product space $Y^ℕ$.

Pointwise inequalities for Sobolev functions and some applications

70%

Bojarski B., Hajłasz P.

Studia Mathematica

1993

tom 106

nr 1

77-92

We get a class of pointwise inequalities for Sobolev functions. As a corollary we obtain a short proof of Michael-Ziemer's theorem which states that Sobolev functions can be approximated by $C^m$ functions both in norm and capacity.

On some properties of the functions from Sobolev-Morrey type spaces

51%

Najafov A.

Open Mathematics

2005

tom 3

nr 3

496-507

In this paper the spaces of type Sobolev-Morrey-W p,a,г,τl(Q,G)-are constructed, the differential properties are studied and it is proved that the functions from these spaces satisfy Holder's condition, in the case, if the domain G∋R n satisfies the flexible λ-horn condition.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Open Mathematics

1 Studia Mathematica

1 Bojarski B.

1 Hajłasz P.

1 Najafov A.

1 Rębowski R.

1 2005

1 1993

1 1991

Wyniki wyszukiwania

A note on integral representation of Feller kernels

Pointwise inequalities for Sobolev functions and some applications

On some properties of the functions from Sobolev-Morrey type spaces