Green function estimates and Harnack inequality for subordinate Brownian motions

@inproceedings{Rao2004GreenFE,
  title={Green function estimates and Harnack inequality for subordinate Brownian motions},
  author={Murali Rao and Renming Song and Zoran Vondra{\vc}ek},
  year={2004}
}
Let X be a Lévy process in Rd, d ≥ 3, obtained by subordinating Brownian motion with a subordinator with a positive drift. Such a process has the same law as the sum of an independent Brownian motion and a Lévy process with no continuous component. We study the asymptotic behavior of the Green function of X near zero. Under the assumption that the Laplace exponent of the subordinator is a complete Bernstein function we also describe the asymptotic behavior of the Green function at infinity… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 40 references

F Harnack inequalities for non - local operators of variable order _

  • R. F. Bass, M. Kassmann
  • Trans . Amer . Math . Soc .
  • 2005

Symmetric αstable processes on dsets , Bull

  • A. Stós
  • Polish Acad . Sci . Math .
  • 2005

F Sharp bounds on the density , Green function and jumping function of subordinate killed BM _ , Probab

  • R. Song
  • Theory Related Fields
  • 2004

Sharp bounds on the density

  • R. Song
  • Green function and jumping function of…
  • 2004
1 Excerpt

F Drift transform and Green function estimates for discontinuous processes _

  • Z.-Q. Chen, R. Song
  • J . Funct . Anal .
  • 2003

F Heat kernel estimates for stablelike processes on dsets _ , Stoch

  • Z.-Q. Chen, T. Kumagai
  • Process . Appl .
  • 2003

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