Simplex averaging operators: quasi-Banach and \(L^p\)-improving bounds in lower dimensions

DOI10.1007/s12220-021-00843-6zbMath1482.42029arXiv2109.09017OpenAlexW3198941036MaRDI QIDQ2074728

Sean R. Sovine, Alexander Iosevich, Eyvindur Ari Palsson

Publication date: 10 February 2022

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

Full work available at URL: https://arxiv.org/abs/2109.09017

zbMATH Keywords

\(L^p\) improving estimatesquasi-Banach estimatessimplex averaging operatortriangle averaging operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) Convolution, factorization for one variable harmonic analysis (42A85)

Cites Work

• Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators
• On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry
• The triangle averaging operator
• Sparse bounds for spherical maximal functions
• Endpoint bounds for a generalized Radon transform
• Multilinear Convolutions Defined by Measures on Spheres
• Multilinear maximal operators associated to simplices
• Lp estimates for multilinear convolution operators defined with spherical measure
• Some remarks on multilinear maps and interpolation

This page was built for publication: Simplex averaging operators: quasi-Banach and \(L^p\)-improving bounds in lower dimensions