The derivatives of the heat kernel on symmetric spaces

2017/04/05 by Fotiadis, A., Papageorgiou, E.
#43A85 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 58J35 #Secondary 53C35

paper · doi:10.48550/arxiv.1704.01359

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 L^p-boundedness of Littlewood-Paley-Stein operators and the Laplacian of the heat operator on a wide class of locally symmetric spaces.

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