Proceedings of the American Mathematical Society

Author(s): Dachun Yang; Yuan Zhou
Journal: Proc. Amer. Math. Soc. 136 (2008), 2155-2163.
MSC (2000): Primary 47D60; Secondary 58J35
Posted: January 3, 2008
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47D60, 58J35

Dachun Yang
Affiliation: School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China
Email: dcyang@bnu.edu.cn

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
Email: yuanzhou@mail.bnu.edu.cn

DOI: 10.1090/S0002-9939-08-09336-2
PII: S 0002-9939(08)09336-2
Keywords: Heat kernel, semigroup, time derivative, non-Gaussian upper estimate, space of homogeneous type
Received by editor(s): April 20, 2007
Posted: January 3, 2008
Additional Notes: The first author was supported by the National Science Foundation for Distinguished Young Scholars (No. 10425106) and NCET (No. 04-0142) of the Ministry of Education of China.
Communicated by: Hart F. Smith
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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