Wavelet bases in rearrangement invariant function spaces

DOI10.1090/S0002-9939-97-04207-XzbMath0887.42021OpenAlexW1572623985MaRDI QIDQ4372425

Paolo M. Soardi

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04207-x

zbMATH Keywords

rearrangement invariant Banach function spaceorthogonal wavelet basesBoyd's indices

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Multipliers for harmonic analysis in several variables (42B15)

Related Items

Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent ⋮ Quantifying democracy of wavelet bases in Lorentz spaces ⋮ Weighted local Hardy spaces with variable exponents ⋮ Wavelets, Orlicz spaces, and greedy bases ⋮ Democracy functions and optimal embeddings for approximation spaces ⋮ Wavelet bases in Banach function spaces ⋮ Democracy functions of wavelet bases in general Lorentz spaces ⋮ Algebra of convolution type operators with continuous data on Banach function spaces ⋮ Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with \(A_p^{\text{loc}}\)-weights ⋮ Strong solvability in Orlicz spaces ⋮ Greedy bases in variable Lebesgue spaces

Cites Work

• Fréchet injective spaces of continuous functions
• The Hilbert Transform on Rearrangement-Invariant Spaces
• Unnamed Item
• Unnamed Item

This page was built for publication: Wavelet bases in rearrangement invariant function spaces