Variation estimates for averages along primes and polynomials
From MaRDI portal
Publication:473183
DOI10.1016/j.jfa.2014.10.018zbMath1304.42031arXiv1403.4085OpenAlexW2025273647MaRDI QIDQ473183
Publication date: 21 November 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.4085
Multipliers for harmonic analysis in several variables (42B15) Functions of bounded variation, generalizations (26A45)
Related Items
Jump and variational inequalities for rough operators ⋮ On a discrete bilinear singular operator ⋮ Bootstrap methods in bounding discrete Radon operators ⋮ Jump estimates for operators associated with polynomials ⋮ A discrete Carleson theorem along the primes with a restricted supremum ⋮ Weighted Lépingle inequality ⋮ \(\ell ^p\left(\mathbb {Z}^d\right)\)-estimates for discrete operators of Radon type: variational estimates ⋮ Variational estimates for averages and truncated singular integrals along the prime numbers ⋮ Some remarks on oscillation inequalities ⋮ Quantitative weighted bounds for the \(q\)-variation of singular integrals with rough kernels ⋮ The \(L^2\)-boundedness of the variational Calderón-Zygmund operators ⋮ VARIATIONAL INEQUALITIES FOR BILINEAR AVERAGES ⋮ 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 ⋮ Discrete bilinear Radon transforms along arithmetic functions with many common values ⋮ Wiener's lemma along primes and other subsequences ⋮ Divergence of weighted square averages in \(L^1\) ⋮ Variational inequalities for the commutators of rough operators with BMO functions ⋮ Nilsystems and ergodic averages along primes ⋮ Jump inequalities for translation-invariant operators of Radon type on \(\mathbb{Z}^d\) ⋮ Variational estimates for discrete operators modeled on multi-dimensional polynomial subsets of primes ⋮ Randomly perturbed ergodic averages
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bounds on the Walsh model for \(M^{q,\ast}\) Carleson and related operators
- Cotlar's ergodic theorem along the prime numbers
- Pointwise ergodic theorem along the prime numbers
- Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
- A Littlewood-Paley inequality for arbitrary intervals
- On the maximal ergodic theorem for certain subsets of the integers
- On the pointwise ergodic theorem on \(L^ p\) for arithmetic sets
- Discrete analogues in harmonic analysis: spherical averages
- A Calderón Zygmund decomposition for multiple frequencies and an application to an extension of a lemma of Bourgain
- Discrete maximal functions in higher dimensions and applications to ergodic theory
- Strong variational and jump inequalities in harmonic analysis
- Oscillation in ergodic theory
- ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS
