Riesz transform on manifolds and heat kernel regularity

Pascal Auscher; Thierry Coulhon; Xuan Thinh Duong; Steve Hofmann

Riesz transform on manifolds and heat kernel regularity

偏微分方程分析 2007-05-23 v1 经典分析与常微分方程微分几何

作者: Pascal Auscher , Thierry Coulhon , Xuan Thinh Duong , Steve Hofmann

摘要

One considers the class of complete non-compact Riemannian manifolds whose heat kernel satisfies Gaussian estimates from above and below. One shows that the Riesz transform is $L^p$ bounded on such a manifold, for $p$ ranging in an open interval above 2, if and only if the gradient of the heat kernel satisfies a certain $L^p$ estimate in the same interval of $p$ 's.

关键词

heat kernel estimates reproducing kernel hilbert space lp spaces and inequalities

引用

@article{arxiv.math/0411374,
  title  = {Riesz transform on manifolds and heat kernel regularity},
  author = {Pascal Auscher and Thierry Coulhon and Xuan Thinh Duong and Steve Hofmann},
  journal= {arXiv preprint arXiv:math/0411374},
  year   = {2007}
}

备注

to appear in Annales de l'Ecole Normale Superieure de Paris

Riesz transform on manifolds and heat kernel regularity

摘要

关键词

引用

备注

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