Approximation and entropy numbers of embeddings between approximation spaces
type: Item
instance of: scholarly article
title: Approximation and entropy numbers of embeddings between approximation spaces
zbMATH Open document ID: 1396.41027
author: Fernando Cobos
author: Thomas Kühn
author: Óscar Domínguez
published in: Constructive Approximation
publication date: 2018-06-27T00:00:00Z
review text: The authors present significant results concerning the degrees of compactness for the embeddings of the classical two-indexed approximation subspaces in the usual Euclidean spaces, following the approximation and the entropy numbers. As applications, one obtains the compact embeddings for some Besov spaces.
reviewed by: Vasile Postolică
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 46M35
zbMATH DE Number: 6894958
zbMATH Keywords: approximation
zbMATH Keywords: entropy number
zbMATH Keywords: compact embedding
zbMATH Keywords: degree of compactness
zbMATH Keywords: Besov space
MaRDI profile type: Publication
full work available at URL: s00365-017-9383-5
OpenAlex ID: W2734723853
cites work: COMPACTNESS AND GENERALIZED APPROXIMATION SPACES
cites work: Generalized approximation spaces and applications
cites work: Q4726487
cites work: Q3915421
cites work: Q5569255
cites work: Sharp embeddings of Besov spaces involving only logarithmic smoothness
cites work: On generalized Besov and Triebel-Lizorkin spaces of regular distributions
cites work: Q3995208
cites work: Embeddings of Besov spaces of logarithmic smoothness
cites work: Approximation spaces, limiting interpolation and Besov spaces
cites work: On Besov spaces of logarithmic smoothness and Lipschitz spaces
cites work: On the relationship between two kinds of Besov spaces with smoothness near zero and some other applications of limiting interpolation
cites work: Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups
cites work: Approximation and entropy numbers in Besov spaces of generalized smoothness
cites work: On a limit class of approximation spaces
cites work: Representation Theorems for Some Operator Ideals
cites work: Q3833099
cites work: Q4273944
cites work: Limiting ultrasymmetric sequence spaces
cites work: Weak interpolation in Banach spaces
cites work: Q4821146
cites work: Q5690839
cites work: Q4423176
cites work: Classical Fourier Analysis
cites work: Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights. I
cites work: Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights
cites work: Wavelet bases and entropy numbers in weighted function spaces
cites work: Eigenvalue distribution of compact operators
cites work: Q5569793
cites work: Entropy numbers in weighted function spaces. The case of intermediate weights
cites work: Entropy numbers in sequence spaces with an application to weighted function spaces
cites work: Entropy numbers of embeddings of weighted Besov spaces
cites work: !ENTROPY NUMBERS OF EMBEDDINGS OF WEIGHTED BESOV SPACES. II
cites work: Entropy numbers of embeddings of weighted Besov spaces. III: Weights of logarithmic type
cites work: Q4508978
cites work: Q4064526
cites work: Interpolation of normed Abelian groups
cites work: Q3786878
cites work: Q3873048
cites work: Approximation spaces
cites work: Tensor products of sequences, functions, and operators
cites work: Ultrasymmetric sequence spaces in approximation theory
cites work: Q5457570
cites work: Q3810338
cites work: Q4348451
cites work: Q4169288
cites work: \(\ell_{1}\)-summability of \(d\)-dimensional Fourier transforms
DOI: 10.1007/S00365-017-9383-5
description: scientific article; zbMATH DE number 6894958