On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting
- Nowak, A. 2
- Roncal, L. 1
-
1
Universidad de La Rioja
info
- 2 Instytut Matematyczny, Polska Akademia Nauk, ͆niadeckich 8, Warszawa, Poland
ISSN: 0035-7596
Year of publication: 2014
Volume: 44
Issue: 4
Pages: 1321-1342
Type: Article
More publications in: Rocky Mountain Journal of Mathematics
Abstract
We prove qualitatively sharp heat kernel bounds in the setting of Fourier-Bessel expansions when the associated type parameter ν is half-integer. Moreover, still for half-integer ν , we also obtain sharp estimates of all kernels subordinated to the heat kernel. Analogous estimates for general ν > -1 are conjectured. Some consequences concerning the related heat semigroup maximal operator are discussed.