The Haar wavelet characterization of weighted Herz spaces and greediness of the Haar wavelet basis

DOI10.1016/J.JMAA.2009.08.005zbMath1180.42023OpenAlexW1999916501MaRDI QIDQ1039459

Yoshihiro Sawano, Mitsuo Izuki

Publication date: 30 November 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.005

zbMATH Keywords

weightsHerz spacesHaar waveletgreedy basis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (9)

Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ On the Democracy inequality for Haar systems and some geometric and analytical properties in Herz spaces on dyadic settings ⋮ Bilinear estimates in dyadic BMO and the Navier-Stokes equations ⋮ Wavelet characterization of local Muckenhoupt weighted Sobolev spaces with variable exponents ⋮ Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces ⋮ Wavelets and bidemocratic pairs in weighted norm spaces ⋮ Wavelets in weighted norm spaces ⋮ The best \(m\)-term approximation with respect to polynomials with constant coefficients ⋮ Two weighted Herz spaces with variable exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• BMO from dyadic BMO
• On rearrangements of the Haar system in the space BMO
• Restricted nonlinear approximation
• Strang-Fix theory for approximation order in weighted \(L^p\)-spaces and Herz spaces
• The Haar wavelets and the Haar scaling function in weighted \(L^p\) spaces with \(A^{dy,m}_p\) weights
• Sharp estimates of the modified Hardy-Littlewood maximal operator on the nonhomogeneous space via covering lemmas
• Dyadic \(BMO\) on the bidisk
• On Singular Integrals
• Singular Integral Operators and Differential Equations
• An elementary approach to several results on the Hardy-Littlewood maximal operator
• Spline Wavelet Bases of Weighted L p Spaces, 1 ≤p < ∞
• Ondelettes et poids de Muckenhoupt
• Weighted Norm Inequalities for the Hardy Maximal Function
• Boundedness of some sublinear operators in weighted Herz-type spaces
• On weighted dyadic Carleson's inequalities.

This page was built for publication: The Haar wavelet characterization of weighted Herz spaces and greediness of the Haar wavelet basis