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

DOI10.1007/s00208-021-02185-8zbMath1486.35245arXiv1905.10581OpenAlexW3158895215MaRDI QIDQ832487

Peter Sjögren, Adam Nowak, Tomasz Zachary Szarek

Publication date: 25 March 2022

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10581

zbMATH Keywords

compact rank-one symmetric spaces

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08) PDEs on manifolds (35R01)

Related Items (7)

Feeling boundary by Brownian motion in a ball ⋮ Maximal functions and multiplier theorem for Fourier orthogonal series ⋮ Sharp estimates for Jacobi heat kernels in conic domains ⋮ Harmonic analysis associated with the Jacobi-Dunkl operator on \((-\pi, \pi)\): exotic cases ⋮ Unnamed Item ⋮ On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions ⋮ Laplace Dirichlet heat kernels in convex domains

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