Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex
Journal article, 2021

We prove genuinely sharp two-sided global estimates for heat kernels on all compact rank-one symmetric spaces. This generalizes the authors' recent result obtained for a Euclidean sphere of arbitrary dimension. Furthermore, similar heat kernel bounds are shown in the context of classical Jacobi expansions, on a ball and on a simplex. These results are more precise than the qualitatively sharp Gaussian estimates proved recently by several authors.

Primary 35K08


Secondary 58J35


Adam Nowak

Polish Academy of Sciences

Peter Sjögren

University of Gothenburg

Chalmers, Mathematical Sciences

Tomasz Szarek

University of Wrocław

Rutgers University

Mathematische Annalen

0025-5831 (ISSN) 1432-1807 (eISSN)

Vol. 381 3-4 1455-1476


Basic sciences

Subject Categories

Mathematical Analysis



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4/5/2022 5