AN APPLICATION OF THE PARTIAL MALLIAVIN CALCULUS TO BAOUENDI-GRUSHIN OPERATORS

Pub Date : 2019-01-01 DOI:10.2206/kyushujm.73.417
S. Taniguchi
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引用次数: 1

Abstract

The existence and the continuity of the transition density function of the diffusion process generated by the Baouendi–Grushin operator is shown with the help of the partial Malliavin calculus. For this purpose, the partial Malliavin calculus is reformulated in terms of Watanabe’s distribution theory on Wiener spaces.
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偏malliavin微积分在baouendi-grushin算子中的应用
利用偏Malliavin演算证明了Baouendi-Grushin算子生成的扩散过程过渡密度函数的存在性和连续性。为此,根据Watanabe在Wiener空间上的分布理论,对偏Malliavin演算进行了重新表述。
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