Littlewood–Paley characterization of BMO and Triebel–Lizorkin spaces

DOI10.1002/MANA.201900059zbMath1530.42034arXiv1811.08881MaRDI QIDQ6057366

A. Tselishchev, Ioann Vasilyev

Publication date: 4 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08881

zbMATH Keywords

Triebel-Lizorkin spacesLittlewood-Paley decompositionBMO spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (1)

Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications

Cites Work

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• Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings
• A discrete transform and decompositions of distribution spaces
• Littlewood-Paley characterization for Campanato spaces
• On an equivalent norm on the space BMO
• New characterization of BMO\((\mathbb{R}^n)\) space
• Modern Fourier Analysis
• de la Vallée-Poussin means of Fourier series for the quadratic spectrum and for spectra with power-like density
• Classical Fourier Analysis

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