Wyniki wyszukiwania

1

Besov spaces on symmetric manifolds—the atomic decomposition

100%

Skrzypczak L.

Studia Mathematica

|

1997

|

tom 124

|

nr 3

215-238

EN

We give the atomic decomposition of the inhomogeneous Besov spaces defined on symmetric Riemannian spaces of noncompact type. As an application we get a theorem of Bernstein type for the Helgason-Fourier transform.

2

Approximation and entropy numbers of compact Sobolev embeddings

100%

Skrzypczak L.

Banach Center Publications

|

2006

|

tom 72

|

nr 1

309-326

EN

The aim of the paper is twofold. First we give a survey of some recent results concerning the asymptotic behavior of the entropy and approximation numbers of compact Sobolev embeddings. Second we prove new estimates of approximation numbers of embeddings of weighted Besov spaces in the so called limiting case.

3

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Remark on spline unconditional bases in $H^1(D)$

75%

Skrzypczak L.

Banach Center Publications

|

1989

|

tom 22

|

nr 1

427-433

4

Embeddings of Besov-Morrey spaces on bounded domains

64%

Haroske D., Skrzypczak L.

Studia Mathematica

|

2013

|

tom 218

|

nr 2

119-144

EN

We study embeddings of spaces of Besov-Morrey type, $id_{Ω}: 𝓝^{s₁}_{p₁,u₁,q₁}(Ω) ↪ 𝓝^{s₂}_{p₂,u₂,q₂}(Ω)$, where $Ω ⊂ ℝ^{d}$ is a bounded domain, and obtain necessary and sufficient conditions for the continuity and compactness of $id_{Ω}$. This continues our earlier studies relating to the case of $ℝ^{d}$. Moreover, we also characterise embeddings into the scale of $L_{p}$ spaces or into the space of bounded continuous functions.

5

Remark on borderline traces of Besov and Triebel-Lizorkin spaces on noncompact hypersurfaces

64%

Skrzypczak L., Tomasz B.

Commentationes Mathematicae

|

2013

|

tom 53

|

nr 2

EN

We investigate borderline traces of Besov and Triebel-Lizorkin spaces. The function spaces are defined on noncompact Riemannian manifolds with bounded geometry. We described spaces of traces on noncompact submanifolds that are also of bounded geometry.

6

The characterization of radial subspaces of Besov and Lizorkin-Triebel spaces by differences

51%

Sickel W., Skrzypczak L., Vybíral J.

Banach Center Publications

|

2014

|

tom 102

|

nr 1

197-214

EN

We continue our earlier investigations of radial subspaces of Besov and Lizorkin-Triebel spaces on $ℝ^d$. This time we study characterizations of these subspaces by differences.

Ograniczanie wyników

3 Banach Center Publications

2 Studia Mathematica

1 Commentationes Mathematicae

6 Skrzypczak L.

1 Haroske D.

1 Sickel W.

1 Tomasz B.

1 Vybíral J.

1 2014

2 2013

1 2006

1 1997

1 1989

Besov spaces on symmetric manifolds—the atomic decomposition

Approximation and entropy numbers of compact Sobolev embeddings

Remark on spline unconditional bases in $H^1(D)$

Embeddings of Besov-Morrey spaces on bounded domains

Remark on borderline traces of Besov and Triebel-Lizorkin spaces on noncompact hypersurfaces

The characterization of radial subspaces of Besov and Lizorkin-Triebel spaces by differences