State of boundaries for harmonic transforms of one-dimensional generalized diffusion processes
摘要
We consider a one-dimensionalg eneralized diffusion operator G represented by triplet\nof Borel measures and a harmonic transform G_h of G, where h is a harmonic function for\nG. Specially we treat an operator with killing measure which is not null measure. We\nconsider the state of boundaries for the one-dimensional generalized diffusion process D_h\nwith G_h as the generator. State of boundaries for D_h may be different from those for D which is a one-dimensional generalized process with G as the generator. We haracterize the state of boundaries for D_h in terms of the Borel measures and a harmonic function for G. After we prove our main theorem, we give some examples.
引用本文（GB/T 7714）
智子 嶽村. State of boundaries for harmonic transforms of one-dimensional generalized diffusion processes[J]. 未知来源, 2010.
引文网络
本站仅收录题录与摘要供学习参考，全文版权归属出版方；如有侵权请联系我们删除。