Improving and maximal inequalities for primes in progressions
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Publication:2147584
DOI10.1007/s43037-022-00191-9zbMath1499.11287arXiv2112.07700OpenAlexW4281786836MaRDI QIDQ2147584
Hamed Mousavi, Michael T. Lacey, Christina Giannitsi, Yaghoub Rahimi
Publication date: 20 June 2022
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.07700
Cites Work
- 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
- On the maximal ergodic theorem for certain subsets of the integers
- On the pointwise ergodic theorem on \(L^ p\) for arithmetic sets
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- On an inequality due to Bourgain
- A discrete Carleson theorem along the primes with a restricted supremum
- Averages along the primes: improving and sparse bounds
- Lacunary discrete spherical maximal functions
- Endpoint estimates for the maximal function over prime numbers
- \(\ell^p(\mathbb Z)\)-boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems
- Exponential Sums Over Primes in an Arithmetic Progression
- $L^p$ boundedness of discrete singular Radon transforms
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