DOI10.1007/BF02776301zbMath0642.28010OpenAlexW2055765757WikidataQ56565302 ScholiaQ56565302MaRDI QIDQ1101568
Jean Bourgain
Publication date: 1988
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02776301
Some results on nonlinear recurrence ⋮
Multilinear maximal operators associated to simplices ⋮
Exponential Sums, Twisted Multiplicativity, and Moments ⋮
Discrete Radon transforms and applications to ergodic theory ⋮
On variants of the Halton sequence ⋮
Some open problems on multiple ergodic averages ⋮
From discrete- to continuous-time ergodic theorems ⋮
Improving and maximal inequalities for primes in progressions ⋮
On the pointwise ergodic theorem on \(L^ p\) for arithmetic sets ⋮
A random pointwise ergodic theorem with Hardy field weights ⋮
Discrete maximal operators over surfaces of higher codimension ⋮
On the Coifman type inequality for the oscillation of one-sided averages ⋮
Ergodic theorems for random sets with density zero ⋮
On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems ⋮
Haas-Molnar continued fractions and metric Diophantine approximation ⋮
Bootstrap methods in bounding discrete Radon operators ⋮
Equidistribution of sparse sequences on nilmanifolds ⋮
Pointwise ergodic theorems for non-conventional bilinear polynomial averages ⋮
A discrete Carleson theorem along the primes with a restricted supremum ⋮
Quantitative multiple pointwise convergence and effective multiple correlations ⋮
Limit theorems for sub-sums of partial quotients of continued fractions ⋮
Unimodular eigenvalues, uniformly distributed sequences and linear dynamics ⋮
Kazhdan constants, continuous probability measures with large Fourier coefficients and rigidity sequences ⋮
Distribution functions for subsequences of the van der Corput sequence ⋮
Two-parameter version of Bourgain's inequality: rational frequencies ⋮
Rudin–Shapiro sequences along squares ⋮
Variational estimates for averages and truncated singular integrals along the prime numbers ⋮
Square function estimates for discrete Radon transforms ⋮
Weak type \((1,1)\) inequalities for discrete rough maximal functions ⋮
On a multi-parameter variant of the Bellow–Furstenberg problem ⋮
Some remarks on oscillation inequalities ⋮
Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: \(\ell^p\) bounds for \(p > 1\) ⋮
Polynomial sequences in discrete nilpotent groups of step 2 ⋮
Cotlar's ergodic theorem along the prime numbers ⋮
Polynomial ergodic averages of measure-preserving systems acted by \(\mathbb{Z}^d\) ⋮
Sublacunary sequences that are strong sweeping out ⋮
Grid method for divergence of averages ⋮
Multiple recurrence and convergence without commutativity ⋮
Polynomial averages and pointwise ergodic theorems on nilpotent groups ⋮
Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes ⋮
Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives ⋮
On the limits of Cesàro means of polynomial powers ⋮
Pointwise ergodic theorem along the prime numbers ⋮
Analysis and applications: The mathematical work of Elias Stein ⋮
(Uniform) convergence of twisted ergodic averages ⋮
Sparse bounds for the discrete cubic Hilbert transform ⋮
The strong sweeping out property for lacunary sequences, Riemann sums, convolution powers, and related matters ⋮
Square functions in ergodic theory ⋮
Oscillation in ergodic theory: Higher dimensional results ⋮
Normality along squares ⋮
Variation estimates for averages along primes and polynomials ⋮
On a discrete version of Tanaka’s theorem for maximal functions ⋮
On the metric theory of the optimal continued fraction expansion ⋮
Divergence of weighted square averages in \(L^1\) ⋮
The discrete spherical maximal function: A new proof of ℓ²-boundedness ⋮
Mean Li-Yorke chaos along some good sequences ⋮
Random differences in Szemerédi's theorem and related results ⋮
Maximal operators associated to discrete subgroups of nilpotent Lie groups ⋮
Maximal functions and ergodic averages related to Waring's problem ⋮
Ergodic theorems with arithmetical weights ⋮
Sets of transfer times with small densities ⋮
Uniform sparse bounds for discrete quadratic phase Hilbert transforms ⋮
Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator ⋮
Multivariable averaging on sparse sets ⋮
Some new thin sets of integers in harmonic analysis ⋮
Recurrence properties of sequences of integers ⋮
Divergent square averages ⋮
Discrete analogues of singular Radon transforms ⋮
Sobolev regularity of maximal operators on infinite connected graphs ⋮
Powers of sequences and convergence of ergodic averages ⋮
On good universality and the Riemann hypothesis ⋮
Random sets for the pointwise ergodic theorem ⋮
Effective equidistribution of twisted horocycle flows and horocycle maps ⋮
\(\ell^p(\mathbb Z)\)-boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems ⋮
Optimization of ergodic averages along squares ⋮
Good and Bad Functions for Bad Processes ⋮
Subsequence pointwise ergodic theorems for operators in \(L^ p\) ⋮
Averages along the square integers \(\ell\) p-improving and sparse inequalities ⋮
$L^p$ boundedness of discrete singular Radon transforms ⋮
Rigidity sequences, Kazhdan sets and group topologies on the integers ⋮
Two random constructions inside lacunary sets ⋮
On superorthogonality ⋮
An introduction to the circle method of Hardy, Littlewood, and Ramanujan ⋮
On uniform distribution of polynomials and good universality ⋮
Bounds for Lacunary maximal functions given by Birch–Magyar averages ⋮
Jump inequalities for translation-invariant operators of Radon type on \(\mathbb{Z}^d\) ⋮
Averages along the primes: improving and sparse bounds ⋮
On the ergodic Waring-Goldbach problem ⋮
\(\ell^p(\mathbb{Z}^d)\)-estimates for discrete operators of Radon type: maximal functions and vector-valued estimates ⋮
Disjointness of the Möbius transformation and Möbius function ⋮
Discrete harmonic analysis associated with ultraspherical expansions ⋮
Discrete fractional integral operators with binary quadratic forms as phase polynomials ⋮
Endpoint estimates for the maximal function over prime numbers ⋮
Oscillation estimates for truncated singular Radon operators ⋮
ON THE METRIC THEORY OF CONTINUED FRACTIONS IN POSITIVE CHARACTERISTIC ⋮
Almost everywhere convergence of weighted averages ⋮
On Entropy of Non–autonomous Discrete Systems ⋮
Mapping properties of maximal operators on infinite connected graphs
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