On maximal function of discrete rough truncated Hilbert transforms
From MaRDI portal
Publication:6046842
DOI10.1007/s10231-023-01340-zzbMath1523.42031arXiv2112.12392OpenAlexW4379741697MaRDI QIDQ6046842
Maciej Paluszyński, Jacek Zienkiewicz
Publication date: 6 October 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.12392
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Waring's problem and variants (11P05) Special integral transforms (Legendre, Hilbert, etc.) (44A15)
Cites Work
- Unnamed Item
- Universally \(L^1\)-bad arithmetic sequences
- Weak type \((1,1)\) inequalities for discrete rough maximal functions
- Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
- An \(L^1\) ergodic theorem for sparse random subsequences
- Divergent square averages
- Weak type (1,1) bounds for rough operators
- Discrete analogues in harmonic analysis: spherical averages
- Square function estimates for discrete Radon transforms
- On superorthogonality
- Variational estimates for operators over some thin subsets of primes
- Weak type \((1,1)\) estimates for a class of discrete rough maximal functions
- Discrete maximal functions in higher dimensions and applications to ergodic theory
- $L^p$ boundedness of discrete singular Radon transforms
- Singular maximal functions and Radon transforms near L 1
- Singular integral operators with rough convolution kernels
- On inverses of discrete rough Hilbert transforms
- Weak type $(1, 1)$ estimates for maximal functions along $1$-regular sequences of integers
- Waek type (1,1) estimates for inverses of discrete rough singular integral operators
- Multivariable averaging on sparse sets
- THE IONESCU–WAINGER MULTIPLIER THEOREM AND THE ADELES
This page was built for publication: On maximal function of discrete rough truncated Hilbert transforms
