h transform of one-dimensional generalized diffusion operators

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概要

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• We are concerned with two types of h transform of one dimensional generalized diffusion operators treated by Maeno(2006) and by the second author(2007). We show that these two types of h transform are in inverse relation to each other in some sense. Further we show that a recurrent one dimensional generalized diffusion operator cannot be represented as an h transform of another one dimensional generalized diffusion operator different from the original one. We also consider a spectral representation of elementary solutions corresponding to h transformed one dimensional generalized diffusion operators.

著者

• Tomisaki Matsuyo

  Department Of Mathematics Faculty Of Science Nara Women's University

• TAKEMURA Tomoko

  Department of Mathematics Nara Women' s University

• TOMISAKI Matsuyo

  Department of Mathematics Faculty of Science and Engineering Saga University

• TOMISAKI Matsuyo

  Department of Mathematics Nara Women' s University

関連論文

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• Dirichlet Forms and Diffusion Processes Associated with Product Measures
• Homogenization of cadlag processes
• h transform of one-dimensional generalized diffusion operators
• Some Estimates for Solutions of Equations Related to Non-Local Dirichlet Forms
• Superposition of diffusion processes
• Levy Measure Density Corresponding to Inverse Local Time

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