Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter

DOI10.1007/s10114-014-2512-1zbMath1372.42022arXiv1208.5199OpenAlexW2593827625MaRDI QIDQ2452392

Luz Roncal, Adam Nowak

Publication date: 3 June 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5199

zbMATH Keywords

Bessel processheat kerneltransition densityFourier-Bessel expansions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Transition functions, generators and resolvents (60J35) Heat kernel (35K08)

Related Items (10)

Fourier-Bessel heat kernel estimates ⋮ Hardy spaces for Fourier-Bessel expansions ⋮ Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex ⋮ Heat kernel estimates for the Bessel differential operator in half-line ⋮ Potential operators associated with Jacobi and Fourier-Bessel expansions ⋮ On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting ⋮ \(L^p\)-boundedness of Stein's square functions associated with Fourier-Bessel expansions ⋮ On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions ⋮ Variation operators for semigroups associated with Fourier-Bessel expansions ⋮ Sharp estimates of transition probability density for Bessel process in half-line

Cites Work

• On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting
• Classical diffusion processes and total positivity
• Heat kernel generated frames in the setting of Dirichlet spaces
• Sharp estimates of the Jacobi heat kernel
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