Martingale transforms and their projection operators on manifolds

Rodrigo Bañuelos; Fabrice Baudoin

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arXiv · 1109.5751

Martingale transforms and their projection operators on manifolds

Rodrigo Bañuelos·Fabrice Baudoin

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Abstract

We prove the boundedness on $L^p$, $1<p<\infty$, of operators on manifolds which arise by taking conditional expectation of transformations of stochastic integrals. These operators include various classical operators such as second order Riesz transforms and operators of Laplace transform-type.

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Rodrigo Bañuelos, Fabrice Baudoin. 2011-09-27. Martingale transforms and their projection operators on manifolds. https://arxiv.org/abs/1109.5751

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