On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting
- Nowak, A. 2
- Roncal, L. 1
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1
Universidad de La Rioja
info
- 2 Instytut Matematyczny, Polska Akademia Nauk, ͆niadeckich 8, Warszawa, Poland
ISSN: 0035-7596
Any de publicació: 2014
Volum: 44
Número: 4
Pàgines: 1321-1342
Tipus: Article
Altres publicacions en: Rocky Mountain Journal of Mathematics
Resum
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.