Abstract
We prove qualitatively sharp heat kernel bounds in the setting of Fourier-Bessel expansions when the associated type parameter $\nu$ is half-integer. Moreover, still for half-integer~$\nu$, we also obtain sharp estimates of all kernels subordinated to the heat kernel. Analogous estimates for general $\nu > -1$ are conjectured. Some consequences concerning the related heat semigroup maximal operator are discussed.
Citation
Adam Nowak. Luz Roncal. "On sharp heat and subordinated kernel estimates in the Fourier- Bessel setting." Rocky Mountain J. Math. 44 (4) 1321 - 1342, 2014. https://doi.org/10.1216/RMJ-2014-44-4-1321
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