English

The derivatives of the heat kernel on symmetric spaces

Analysis of PDEs 2020-06-18 v2

Abstract

We derive estimates of the derivatives of the heat kernel on noncompact symmetric spaces and on locally symmetric spaces. Applying these estimates we study the LpL^{p}-boundedness of Littlewood-Paley-Stein operators and the Laplacian of the heat operator on a wide class of locally symmetric spaces.

Keywords

Cite

@article{arxiv.1704.01359,
  title  = {The derivatives of the heat kernel on symmetric spaces},
  author = {A. Fotiadis and E. Papageorgiou},
  journal= {arXiv preprint arXiv:1704.01359},
  year   = {2020}
}