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Non-Gaussian upper estimates for heat kernels on spaces of homogeneous type
Authors:Dachun Yang   Yuan Zhou
Affiliation:School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China ; School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China
Abstract:The authors extend non-Gaussian upper estimates on the positive real axis to a certain sector of $ mathbb{C}$ including the positive real axis for heat kernels on spaces of homogeneous type, which are known to be holomorphic in that sector.

Keywords:Heat kernel   semigroup   time derivative   non-Gaussian upper estimate   space of homogeneous type
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