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First Eigenvalue of One-dimensional Diffusion Processes

  
@article{ECP1464,
	author = {Jian Wang},
	title = {First Eigenvalue of One-dimensional Diffusion Processes},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {14},
	year = {2009},
	keywords = {First Dirichlet eigenvalue, Hardy  inequality, variational formula, transience, recurrence, diffusion  operators},
	abstract = {We consider the first Dirichlet eigenvalue of diffusion operators  on the half line. A criterion for the equivalence of the first  Dirichlet eigenvalue with respect to the maximum domain and  that to the minimum domain is presented. We also describle the  relationships between the first Dirichlet eigenvalue of transient  diffusion operators and the standard Muckenhoupt's conditions for the dual weighted Hardy inequality. Pinsky's result [17] and Chen's variational  formulas [8] are reviewed, and both provide the original motivation for this research.},
	pages = {no. 23, 232-244},
	issn = {1083-589X},
	doi = {10.1214/ECP.v14-1464},    
        url = {http://ecp.ejpecp.org/article/view/1464}}