Second order Riesz transforms on multiply-connected Lie groups and processes with jumps
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Publication:345043
DOI10.1007/s11118-016-9566-xzbMath1365.60045arXiv1507.04940OpenAlexW2235048005WikidataQ115381400 ScholiaQ115381400MaRDI QIDQ345043
Komla Domelevo, Nicola Arcozzi, Stefanie Petermichl
Publication date: 25 November 2016
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.04940
Martingales with continuous parameter (60G44) Analysis on real and complex Lie groups (22E30) Stochastic integrals (60H05) Martingales and classical analysis (60G46) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)
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Various Sharp Estimates for Semi-discrete Riesz Transforms of the Second Order ⋮ Discrete Hilbert transform à la Gundy–Varopoulos ⋮ A note on second order Riesz transforms in \(3\)-dimensional Lie groups
Cites Work
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- Dimension free estimates for discrete Riesz transforms on products of abelian groups
- Stochastic analysis in discrete and continuous settings. With normal martingales.
- Boundary value problems and sharp inequalities for martingale transforms
- Riesz transforms on compact Lie groups, spheres and Gauss space
- A sharp and strict \(L^ p\)-inequality for stochastic integrals
- Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
- Differential subordination and strong differential subordination for continuous-time martingales and related sharp inequalities
- Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
- Subordination by conformal martingales in \(L^{p}\) and zeros of Laguerre polynomials
- Martingale transforms and their projection operators on manifolds
- Sharp weak-type inequalities for Fourier multipliers and second-order Riesz transforms
- Sharp \(L^p\) estimates for discrete second order Riesz transforms
- A superharmonic proof of the M. Riesz conjugate function theorem
- Martingales and sharp bounds for Fourier multipliers
- Survey of the stability of linear finite difference equations
- Space-time Brownian motion and the Beurling-Ahlfors transform
- $L^p$--bounds for the Beurling--Ahlfors transform
- Martingale Transforms and Related Singular Integrals
- A Sharp Inequality for Martingale Transforms and the Unconditional Basis Constant of a Monotone Basis in L p (0, 1)
- Heating of the Ahlfors–Beurling operator, and estimates of its norm
- Logarithmic inequalities for second-order Riesz transforms and related Fourier multipliers
- On singular integral and martingale transforms
- On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
