On the \(\ell^p\)-norm of the discrete Hilbert transform
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Publication:1734004
DOI10.1215/00127094-2018-0047zbMath1466.60156arXiv1709.07427OpenAlexW2757400363MaRDI QIDQ1734004
Rodrigo Bañuelos, Mateusz Kwaśnicki
Publication date: 22 March 2019
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.07427
martingale transformdiscrete Hilbert transformBurkholder inequalitiesGundy-Varopoulos representation
Martingales with discrete parameter (60G42) Probabilistic potential theory (60J45) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
Related Items
The Hilbert Transform and Orthogonal Martingales in Banach Spaces ⋮ The ℓp$\ell ^p$ norm of the Riesz–Titchmarsh transform for even integer p$p$ ⋮ Discrete Hilbert transform à la Gundy–Varopoulos ⋮ Theory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems ⋮ Hardy-type operators with general kernels and characterizations of dynamic weighted inequalities
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