Heat kernel and hardy's theorem for jacobi transform

Heat kernel and hardy's theorem for jacobi transform
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DOI:
10.1142/s0252959903000360
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发表时间:
2003-07
期刊:
Chinese Annals of Mathematics
影响因子:
--
通讯作者:
T. Kawazoe;Jianming Liu
T. Kawazoe;Jianming Liu
中科院分区:
其他
文献类型:
--
作者:
T. Kawazoe;Jianming Liu

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本文给出了Jacobi变换的热核的精确上、下界估计,并利用热核的精确估计得到了Jacobi变换的哈代定理的一些类似结果.
In this paper, the authors obtain sharp upper and lower bounds for the heat kernel associated with jacobi transform, and get some analogues of Hardy's Theorem for Jacobi transform by using the sharp estimate of the heat kernel.