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Entropy and approximation numbers of embeddings between weighted Besov spaces

100%

Piotrowska I.

Banach Center Publications

2008

tom 79

nr 1

173-185

The present paper is devoted to the study of the "quality" of the compactness of the trace operator. More precisely, we characterize the asymptotic behaviour of entropy numbers of the compact map $tr_{Γ}: B^{s}_{p₁,q} (ℝⁿ,w_{ϰ}^{Γ}) → L_{p₂}(Γ)$, where Γ is a d-set with 0 < d < n and $w_{ϰ}^{Γ}$ a weight of type $w_{ϰ}^{Γ}(x) ~ dist(x,Γ)^{ϰ}$ near Γ with ϰ > -(n-d). There are parallel results for approximation numbers.

Non-smooth atomic decompositions of anisotropic function spaces and some applications

51%

Moura S., Piotrowska I., Piotrowski M.

Studia Mathematica

2007

tom 180

nr 2

169-190

The main purpose of the present paper is to extend the theory of non-smooth atomic decompositions to anisotropic function spaces of Besov and Triebel-Lizorkin type. Moreover, the detailed analysis of the anisotropic homogeneity property is carried out. We also present some results on pointwise multipliers in special anisotropic function spaces.

Ograniczanie wyników

1 Banach Center Publications

1 Studia Mathematica

2 Piotrowska I.

1 Moura S.

1 Piotrowski M.

1 2008

1 2007

Wyniki wyszukiwania

Entropy and approximation numbers of embeddings between weighted Besov spaces

Non-smooth atomic decompositions of anisotropic function spaces and some applications