I will talk about the dimension-free $L^p$ boundedness of operators on manifolds obtained as conditional expectations of martingale transforms à la Gundy-Varopoulos. Applications on Lie groups of compact type and the Heisenberg group will be introduced. This talk is based on a joint work with R. Bañuelos and F. Baudoin.Non UBCUnreviewedAuthor affiliation: University of ConnecticutPostdoctora
We introduce a new measure notion on small complexity classes (called F-measure), based on martinga...
While briefly reviewing results about (nets of) generalized conditional expectations and martingale-...
International audienceLet $\psi$ be a multi-dimensional random variable. We show that the set of pro...
Many probabilistic constructions have been created to study the Lp-boundedness, 1 \u3c p \u3c ∞, of ...
AbstractWe apply the theory of martingale transforms to study the Beurling–Ahlfors transform,S, in d...
We study the n-dimensional Beurling-Ahlfors transform S via probabilistic methods. In particular, we...
We develop a new approach to prove multiplier theorems in various geometric settings. The main idea ...
We obtain Gaussian estimates for the kernels of the semigroups generated by a class of subelliptic o...
We give a Hörmander-type sufficient condition on an operator-valued function M that implies the Lp-b...
The Radon-Nikodým property was introduced to describe those Banach spaces X for which all operators...
We obtain a martingale representation theorem for differentiable functions on loop space over a comp...
AbstractWe establish conditions for the Lp-independence of spectral bounds of Feynman–Kac semigroup ...
We establish various Lp estimates for the Schrödinger operator − ∆ + V on Riemannian manifolds satis...
29 pages; a section on motivation and applications is added; to appear in J. Inst. Math. Jussieu29 p...
International audienceWe establish various $L^{p}$ estimates for the Schrödinger operator $-\Delta+V...
We introduce a new measure notion on small complexity classes (called F-measure), based on martinga...
While briefly reviewing results about (nets of) generalized conditional expectations and martingale-...
International audienceLet $\psi$ be a multi-dimensional random variable. We show that the set of pro...
Many probabilistic constructions have been created to study the Lp-boundedness, 1 \u3c p \u3c ∞, of ...
AbstractWe apply the theory of martingale transforms to study the Beurling–Ahlfors transform,S, in d...
We study the n-dimensional Beurling-Ahlfors transform S via probabilistic methods. In particular, we...
We develop a new approach to prove multiplier theorems in various geometric settings. The main idea ...
We obtain Gaussian estimates for the kernels of the semigroups generated by a class of subelliptic o...
We give a Hörmander-type sufficient condition on an operator-valued function M that implies the Lp-b...
The Radon-Nikodým property was introduced to describe those Banach spaces X for which all operators...
We obtain a martingale representation theorem for differentiable functions on loop space over a comp...
AbstractWe establish conditions for the Lp-independence of spectral bounds of Feynman–Kac semigroup ...
We establish various Lp estimates for the Schrödinger operator − ∆ + V on Riemannian manifolds satis...
29 pages; a section on motivation and applications is added; to appear in J. Inst. Math. Jussieu29 p...
International audienceWe establish various $L^{p}$ estimates for the Schrödinger operator $-\Delta+V...
We introduce a new measure notion on small complexity classes (called F-measure), based on martinga...
While briefly reviewing results about (nets of) generalized conditional expectations and martingale-...
International audienceLet $\psi$ be a multi-dimensional random variable. We show that the set of pro...
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