On a class of Calderón-Zygmund operators arising from projections of martingale transforms
From MaRDI portal
Publication:2256550
DOI10.1007/s11118-014-9438-1zbMath1322.42020arXiv1311.5905OpenAlexW2044049465MaRDI QIDQ2256550
Publication date: 19 February 2015
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.5905
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Stochastic integrals (60H05) Stable stochastic processes (60G52) Martingales and classical analysis (60G46)
Related Items (3)
A method of rotations for Lévy multipliers ⋮ Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers ⋮ Hardy–Stein identities and square functions for semigroups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The sharp weighted bound for general Calderón-Zygmund operators
- Sharp logarithmic inequalities for Riesz transforms
- Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
- Sharp heat kernel estimates for relativistic stable processes in open sets
- Boundary value problems and sharp inequalities for martingale transforms
- Lévy processes and Fourier multipliers
- Extremal inequalities in Sobolev spaces and quasiconformal mappings
- Estimates of Green function for relativistic \(\alpha\)-stable process
- 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
- Subordination by conformal martingales in \(L^{p}\) and zeros of Laguerre polynomials
- Martingale transforms and their projection operators on manifolds
- Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space
- Space-time Brownian motion and the Beurling-Ahlfors transform
- $L^p$--bounds for the Beurling--Ahlfors transform
- Some results in harmonic analysis in 𝐑ⁿ, for 𝐧→∞
- Martingale Transforms and Related Singular Integrals
- Martingale Transforms
- Harnack inequality for stable processes on d-sets
- Heating of the Ahlfors–Beurling operator, and estimates of its norm
- Potential Theory of Subordinate Brownian Motions Revisited
- On singular integral and martingale transforms
This page was built for publication: On a class of Calderón-Zygmund operators arising from projections of martingale transforms