Jump inequalities via real interpolation
From MaRDI portal
Publication:2290820
DOI10.1007/s00208-019-01889-2zbMath1448.60052arXiv1808.04592OpenAlexW3098871333MaRDI QIDQ2290820
Pavel Zorin-Kranich, Mariusz Mirek, Elias M. Stein
Publication date: 29 January 2020
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.04592
interpolationFourier multipliersvector-valued martingalesdoubly stochastic operatorsJump inequalitiesmartingale cotype Banach spaces
Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42) Geometry and structure of normed linear spaces (46B20) Probability theory on linear topological spaces (60B11)
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Cites Work
- Unnamed Item
- Unnamed Item
- On Markov operators and ergodic theorems for group actions
- Variational estimates for paraproducts
- Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
- The strong p-variation of martingales and orthogonal series
- A generalization of Birkhoff's pointwise ergodic theorem
- Discrete analogues in harmonic analysis: spherical averages
- On dimension-free variational inequalities for averaging operators in \({\mathbb{R}^d}\)
- The \(K_ t\)-functional for the interpolation couple \(L_ 1(A_ 0), L_{\infty}(A_ 1)\)
- Convergence of spherical averages for actions of free groups
- Variational estimates for martingale paraproducts
- Vector valued \(q\)-variation for differential operators and semigroups. I
- A bootstrapping approach to jump inequalities and their applications
- Jump inequalities for translation-invariant operators of Radon type on \(\mathbb{Z}^d\)
- \(\ell ^p\left(\mathbb {Z}^d\right)\)-estimates for discrete operators of Radon type: variational estimates
- Martingales in Banach Spaces
- Strong variational and jump inequalities in harmonic analysis
- La variation d'ordre p des semi-martingales
- On (L p 0 (A 0 ), L p 1 (A 1 )) θ, q
- Classical Fourier Analysis
- Operator Limit Theorems
- On the Convergence of Poisson Integrals
- An “alternierende Verfahren” for general positive operators