Heat kernel estimates for the Bessel differential operator in half‐line |
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| Authors: | Kamil Bogus Jacek Ma?ecki |
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| Institution: | Wroc?aw University of Science and Technology, Faculty of Pure and Applied Mathematics, Wroc?aw, Poland |
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| Abstract: | In the paper we consider the Bessel differential operator  in half‐line  ,  , and its Dirichlet heat kernel  . For  , by combining analytical and probabilistic methods, we provide sharp two‐sided estimates of the heat kernel for the whole range of the space parameters  and every  , which complements the recent results given in 1 , where the case  was considered. |
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| Keywords: | Bessel differential operator heat kernel sharp estimate half‐line Bessel process transition probability density 35K08 60J60 |
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