Discrete multilinear spherical averages
Classical Analysis and ODEs
2019-08-15 v1
Authors:
Brian Cook
Abstract
In this note we give a characterization of ℓp×...×ℓp→ℓq boundedness of maximal operators associated to multilinear convolution averages over spheres in Zn.
Cite
@article{arxiv.1808.01678,
title = {Discrete multilinear spherical averages},
author = {Brian Cook},
journal= {arXiv preprint arXiv:1808.01678},
year = {2019}
}
Related papers
View all related →
Classical Analysis and ODEs · Mathematics
Multilinear maximal operators associated to simplices
Brian Cook, Neil Lyall, Akos Magyar
2021-09-17
Classical Analysis and ODEs · Mathematics
Lebesgue bounds for multilinear spherical and lacunary maximal averages
Xinyu Gao
2026-02-25
Classical Analysis and ODEs · Mathematics
$L^p\to L^q$ bounds for spherical maximal operators
Theresa C. Anderson, Kevin Hughes, Joris Roos, Andreas Seeger
2021-03-18
Classical Analysis and ODEs · Mathematics
A note on discrete spherical averages over sparse sequences
Brian Cook
2018-09-20
Classical Analysis and ODEs · Mathematics
Maximal multilinear operators
Ciprian Demeter, Terence Tao, Christoph Thiele
2024-07-02
Classical Analysis and ODEs · Mathematics
Variation bounds for spherical averages over restricted dilates
Reuben Wheeler
2024-09-10
Classical Analysis and ODEs · Mathematics
A framework for discrete bilinear spherical averages and applications to $\ell^p$-improving estimates
Theresa C. Anderson, Angel V. Kumchev, Eyvindur A. Palsson
2023-06-27
Classical Analysis and ODEs · Mathematics
Survey on bilinear spherical averages and associated maximal operators
Tainara Borges
2026-03-03
Classical Analysis and ODEs · Mathematics
Variation bounds for spherical averages
David Beltran, Richard Oberlin, Luz Roncal, Andreas Seeger +1
2021-10-26
Classical Analysis and ODEs · Mathematics
The Multilinear Spherical Maximal Function in one dimension
Georgios Dosidis, João P. G. Ramos
2024-12-04
Classical Analysis and ODEs · Mathematics
$L^p$ improving properties and maximal estimates for certain multilinear averaging operators
Chu-hee Cho, Jin Bong Lee, Kalachand Shuin
2024-01-24
Classical Analysis and ODEs · Mathematics
Bounds for discrete multilinear spherical maximal functions in higher dimensions
Theresa C. Anderson, Eyvindur Ari Palsson
2021-02-03
Classical Analysis and ODEs · Mathematics
Multilinear Spherical Maximal Function
Georgios Dosidis
2019-11-12
Classical Analysis and ODEs · Mathematics
Discrete maximal operators and pinned simplices
Neil Lyall, Akos Magyar, Alex Newman, Peter Woolfitt
2025-06-30
Classical Analysis and ODEs · Mathematics
Spherical maximal operators on Heisenberg groups: Restricted dilation sets
Joris Roos, Andreas Seeger, Rajula Srivastava
2025-01-24
Classical Analysis and ODEs · Mathematics
Problems on averages and lacunary maximal functions
Andreas Seeger, James Wright
2012-03-20
Classical Analysis and ODEs · Mathematics
Maximal averages associated to families of finite type surfaces
Ramesh Manna
2016-09-28
Classical Analysis and ODEs · Mathematics
On the translation invariant operators in $\ell^p(\mathbb{Z}^d)$
Bechir Amri, Khawla Kerfaf
2019-01-11
Classical Analysis and ODEs · Mathematics
$\ell^p(\mathbb{Z}^d)$-Improving Properties and Sparse Bounds for Discrete Spherical Maximal Averages
Robert Kesler
2018-09-18
Classical Analysis and ODEs · Mathematics
Maximal Operators for cube skeletons
Andrea Olivo, Pablo Shmerkin
2018-07-17
Classical Analysis and ODEs · Mathematics
Bounds for discrete multilinear spherical maximal functions
Theresa C. Anderson, Eyvindur Ari Palsson
2020-06-05
Classical Analysis and ODEs · Mathematics
L^p regularity of averages over curves and bounds for associated maximal operators
Malabika Pramanik, Andreas Seeger
2010-03-15
Classical Analysis and ODEs · Mathematics
Lebesgue space estimates for spherical maximal functions on Heisenberg groups
Joris Roos, Andreas Seeger, Rajula Srivastava
2023-07-25
Classical Analysis and ODEs · Mathematics
Bilinear spherical maximal function with fractal dilations
Surjeet Singh Choudhary, Chun-Yen Shen, Saurabh Shrivastava
2026-04-21
Functional Analysis · Mathematics
Diagonal extendible multilinear operators between $\ell_p$-spaces
Daniel Carando, Verónica Dimant, Pablo Sevilla-Peris, Román Villafañe
2014-03-19