Basis Properties of the Haar System in Limiting Besov Spaces

DOI10.1007/978-3-030-72058-2_11zbMath1487.42066arXiv1901.09117OpenAlexW2913539186MaRDI QIDQ5016430

Gustavo Garrigós, Tino Ullrich, Andreas Seeger

Publication date: 13 December 2021

Published in: Geometric Aspects of Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09117

zbMATH Keywords

Triebel-Lizorkin spacesSchauder basisBesov spacesHaar systemunconditional basisbasic sequencedyadic averaging operatorslocal Schauder basis

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (5)

Kolmogorov widths of the Besov classes \(B^1_{1,\theta}\) and products of octahedra ⋮ Spline wavelet decomposition in weighted function spaces ⋮ Orthogonal systems of spline wavelets as unconditional bases in Sobolev spaces ⋮ Haar frame characterizations of Besov-Sobolev spaces and optimal embeddings into their dyadic counterparts ⋮ Multivariate Haar systems in Besov function spaces

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