English

Martingale transforms and their projection operators on manifolds

Probability 2011-09-28 v1 Functional Analysis

Abstract

We prove the boundedness on LpL^p, 1<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.

Keywords

Cite

@article{arxiv.1109.5751,
  title  = {Martingale transforms and their projection operators on manifolds},
  author = {Rodrigo Bañuelos and Fabrice Baudoin},
  journal= {arXiv preprint arXiv:1109.5751},
  year   = {2011}
}
R2 v1 2026-06-21T19:10:44.547Z