Wyniki wyszukiwania

1

A non-doubling Trudinger inequality

100%

Gogatishvili A., Koskela P.

Studia Mathematica

|

2005

|

tom 170

|

nr 2

113-119

EN

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.

2

Generalized John disks

100%

Guo C.-Y., Koskela P.

Open Mathematics

|

2014

|

tom 12

|

nr 2

349-361

EN

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

3

Quasiconformal mappings and Sobolev spaces

100%

Koskela P., MacManus P.

Studia Mathematica

|

1998

|

tom 131

|

nr 1

1-17

EN

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 $L^{1,Q}(ℝ^Q)$.

4

Sobolev-type spaces from generalized Poincaré inequalities

81%

Heikkinen T., Koskela P., Tuominen H.

Studia Mathematica

|

2007

|

tom 181

|

nr 1

1-16

EN

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

Ograniczanie wyników

3 Studia Mathematica

1 Open Mathematics

4 Koskela P.

1 Gogatishvili A.

1 Guo C.-Y.

1 Heikkinen T.

1 MacManus P.

1 Tuominen H.

1 2014

1 2007

1 2005

1 1998

A non-doubling Trudinger inequality

Generalized John disks

Quasiconformal mappings and Sobolev spaces

Sobolev-type spaces from generalized Poincaré inequalities