Dimension-free discretizations of the uniform norm by small product sets

DOI10.1007/S00222-024-01306-9MaRDI QIDQ6664374

Alexander Volberg, Ohad Klein, Joseph Slote, Lars Becker, Haonan Zhang

Publication date: 16 January 2025

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Fourier series and coefficients in several variables (42B05) Polynomials and rational functions of several complex variables (32A08)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
Sur une modification de la formule d'interpolation de Lagrange.
On the absolute convergence of Dirichlet series.
Sur une classe de formules d'interpolation.
The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
On optimal polynomial meshes
Marcinkiewicz-Zygmund inequalities
Noise stability of functions with low influences: invariance and optimality
Diophantine problems in variables restricted to the values 0 and 1
Logarithmic Sobolev inequalities and hypercontractive estimates on the circle
Additive bases of vector spaces over prime fields
Boolean functions with low average sensitivity depend on few coordinates
An isoperimetric inequality on the discrete cube and an elementary proof of the isoperimetric inequality in Gauss space
On complex hypercontractivity
Global versus local asymptotic theories of finite-dimensional normed spaces
Über die Bedeutung der Potenzreihen unendlich vieler Variabeln in der Theorie der \textit{Dirichlet}schen Reihen \(\sum\,\frac{a_n}{n^2}\).
Démonstration du théorème de \textit{Weierstraß}, fondée sur le calcul des probabilités.
Résolution d'une question relative aux déterminants.
Remez-type inequality for discrete sets
Graph products, Fourier analysis and spectral techniques
On bounded bilinear forms in an infinite number of variables.
Boolean functions whose Fourier transform is concentrated on the first two levels.
On subsets of finite Abelian groups with no 3-term arithmetic progressions
A discrete harmonic function bounded on a large portion of \({\mathbb{Z}^2}\) is constant
Sampling discretization and related problems
Sharp Remez inequality
On the Fourier spectrum of functions on Boolean cubes
The Bohnenblust-Hille cycle of ideas from a modern point of view
Sur une propriété extrémale des polynomes de Tchébychef.
Sampling discretization of the uniform norm
Analysis in integer and fractional dimensions
Norming sets and related Remez-type inequalities
Analysis on Gaussian spaces
Constant depth circuits, Fourier transform, and learnability
Inequalities in Fourier Analysis on R ⁿ
Analysis and Geometry of Markov Diffusion Operators
Analysis of Boolean Functions
Hypercontractivity in finite-dimensional matrix algebras
Integral norm discretization and related problems
Dirichlet Series and Holomorphic Functions in High Dimensions
Optimal Inapproximability Results for MAX‐CUT and Other 2‐Variable CSPs?
Learning low-degree functions from a logarithmic number of random queries
Noncommutative Bohnenblust--Hille inequalities
Directed isoperimetric theorems for Boolean functions on the hypergrid and an \(\widetilde{O}(n\sqrt{d})\) monotonicity tester
Optimal polynomial meshes exist on any multivariate convex domain
Bohnenblust-Hille inequality for cyclic groups

This page was built for publication: Dimension-free discretizations of the uniform norm by small product sets

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6664374)