Haar functions in weighted Besov and Triebel-Lizorkin spaces

DOI10.1016/j.jat.2015.07.001zbMath1344.46031OpenAlexW966595920MaRDI QIDQ498460

Agnieszka Małecka

Publication date: 28 September 2015

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2015.07.001

zbMATH Keywords

Triebel-Lizorkin spacesBesov spacesMuckenhoupt weightsHaar waveletslocal means

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (4)

Spline wavelet decomposition in weighted function spaces ⋮ The images of integration operators in weighted function spaces ⋮ Wavelet characterization of local Muckenhoupt weighted Sobolev spaces with variable exponents ⋮ Spline wavelet bases in function spaces with Muckenhoupt weights

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complex interpolation of weighted Besov and Lizorkin-Triebel spaces
• A discrete transform and decompositions of distribution spaces
• Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights. I
• Bases in function spaces, sampling, discrepancy, numerical integration
• Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with \(A_p^{\text{loc}}\)-weights
• Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type
• Duality and interpolation of anisotropic Triebel-Lizorkin spaces
• Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights
• Local means and wavelets in function spaces with local Muckenhoupt weights
• Atomic decomposition for weighted Besov and Triebel-Lizorkin spaces
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• Function Spaces with Exponential Weights I
• Wavelet bases and entropy numbers in weighted function spaces

This page was built for publication: Haar functions in weighted Besov and Triebel-Lizorkin spaces