The triangle averaging operator

DOI10.1016/j.jfa.2020.108671OpenAlexW3033116153MaRDI QIDQ2192345

Eyvindur Ari Palsson, Sean R. Sovine

Publication date: 17 August 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01282

zbMATH Keywords

\(L^p\) estimatesmultilinear generalized Radon transformstriangle operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Radon transform (44A12) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (4)

Multilinear maximal operators associated to simplices ⋮ Initial 𝐿²×⋯×𝐿² bounds for multilinear operators ⋮ Discrete maximal operators over surfaces of higher codimension ⋮ Simplex averaging operators: quasi-Banach and \(L^p\)-improving bounds in lower dimensions

Cites Work

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• \(L^2\times L^2 \rightarrow L^1\) boundedness criteria
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• Multilinear generalized Radon transforms and point configurations
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• Lie Groups, Lie Algebras, and Representations
• Calderon-Vaillancourt--type theorem for bilinear operators
• On Some Measures Analogous to Haar Measure.
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