Quantifying democracy of wavelet bases in Lorentz spaces

DOI10.1007/s00365-010-9113-8zbMath1223.41007OpenAlexW2052904200MaRDI QIDQ623357

Eugenio Hernández, Maria de Natividade, José Maria Martell

Publication date: 14 February 2011

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-010-9113-8

zbMATH Keywords

waveletsgreedy algorithmapproximation spacesnonlinear approximationLorentz spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (3)

On the geometry of spaces of homogeneous type and the democracy of Haar systems in Lorentz spaces ⋮ Democracy functions and optimal embeddings for approximation spaces ⋮ Democracy functions of wavelet bases in general Lorentz spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear approximation and Muckenhoupt weights
• The best \(m\)-term approximation and greedy algorithms
• Wavelets as unconditional bases in \(L_p(\mathbb{R})\)
• The thresholding greedy algorithm, greedy bases, and duality
• Restricted nonlinear approximation
• Wavelets, Orlicz spaces, and greedy bases
• Unconditional biorthogonal wavelet bases in L^p(R^d)
• Wavelet bases in rearrangement invariant function spaces
• Greedy approximation and the multivariate Haar system
• Sharp Jackson and Bernstein inequalities for N-term approximation in sequence spaces with applications

This page was built for publication: Quantifying democracy of wavelet bases in Lorentz spaces