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