Martingale Transforms and Their Projection Operators on Manifolds

被引:0
|
作者
Rodrigo Bañuelos
Fabrice Baudoin
机构
[1] Purdue University,Department of Mathematics
来源
Potential Analysis | 2013年 / 38卷
关键词
Martingale transforms; Second order Riesz transforms; Burkholder–Davis–Gundy inequality; Laplace type multiplier; Schrodinger operators on manifolds; 58J65; 60G46; 60H05;
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学科分类号
摘要
We prove the boundedness on Lp, 1 < p < ∞, 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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页码:1071 / 1089
页数:18
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