Wyniki wyszukiwania - Biblioteka Nauki

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Quasiconformal mappings and Sobolev spaces

100%

Koskela P. , MacManus P.

Studia Mathematica

1998

tom 131

nr 1

1-17

We examine how Poincaré change under quasiconformal maps between appropriate metric spaces having the same Hausdorff dimension. We also show that for many metric spaces the Sobolev functions can be identified with functions satisfying Poincaré, and this allows us to extend to the metric space setting the fact that quasiconformal maps from $ℝ^Q$ onto $ℝ^Q$ preserve the Sobolev space $L^{1,Q}(ℝ^Q)$.

Generalized John disks

100%

Guo C.-Y. , Koskela P.

Open Mathematics

2014

tom 12

nr 2

349-361

We establish the basic properties of the class of generalized simply connected John domains.

A non-doubling Trudinger inequality

100%

Gogatishvili A. , Koskela P.

Studia Mathematica

2005

tom 170

nr 2

113-119

We establish a Trudinger inequality for functions that satisfy a suitable Poincarè inequality in a Euclidean space equipped with a Borel measure that need not be doubling.

Sobolev-type spaces from generalized Poincaré inequalities

80%

Heikkinen T. , Koskela P. , Tuominen H.

Studia Mathematica

2007

tom 181

nr 1

1-16

We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.