Discrete Hilbert transform à la Gundy–Varopoulos
From MaRDI portal
Publication:4959721
DOI10.1090/proc/14492zbMath1445.44004arXiv1512.01999OpenAlexW2905023637MaRDI QIDQ4959721
Stefanie Petermichl, Komla Domelevo, Nicola Arcozzi
Publication date: 7 April 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.01999
discrete Hilbert transformcentered discrete Hilbert transformGundy-Varopoulos stochastic representation
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Martingales and classical analysis (60G46) Conjugate functions, conjugate series, singular integrals (42A50)
Related Items
Riesz transform for a flow Laplacian on homogeneous trees ⋮ The ℓp$\ell ^p$ norm of the Riesz–Titchmarsh transform for even integer p$p$ ⋮ On the \(\ell^p\)-norm of the discrete Hilbert transform
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second order Riesz transforms on multiply-connected Lie groups and processes with jumps
- Dimension free estimates for discrete Riesz transforms on products of abelian groups
- Orthogonal martingales under differential subordination and applications to Riesz transforms
- Stochastic analysis in discrete and continuous settings. With normal martingales.
- Basic properties of discrete analytic functions
- Harmonic functions on the lattice: absolute monotonicity and propagation of smallness
- Strong differential subordination and stochastic integration
- Discrete analogues in harmonic analysis. II: Fractional integration
- On the \(\ell^p\)-norm of the discrete Hilbert transform
- Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
- The foundational inequalities of D. L. Burkholder and some of their ramifications
- Martingale transforms and their projection operators on manifolds
- Distribution of Hilbert transforms of measures
- Sharp \(L^p\) estimates for discrete second order Riesz transforms
- A superharmonic proof of the M. Riesz conjugate function theorem
- Harmonic analysis associated with a discrete Laplacian
- Internal DLA and the Gaussian free field
- Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space
- Remarks on the Hilbert transform and on some families of multiplier operators related to it
- On the existence of certain singular integrals
- One-parameter Groups of Operators and Discrete Hilbert Transforms
- Stability and regularization for determining sets of discrete Laplacian
- Sharp Martingale and Semimartingale Inequalities
- Various Sharp Estimates for Semi-discrete Riesz Transforms of the Second Order
- Discrete analogues in harmonic analysis, I: l 2[superscript estimates for singular radon transforms]
- On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
- Probability
