Summary
We give an upper bound for the Green functions of conditioned Brownian motion in planar domains. A corollary is the conditional gauge theorem in bounded planar domains.
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Supported in part by NSF grant DMS-9100244 and an AMS Centennial Fellowship
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Bass, R.F., Burdzy, K. Conditioned Brownian motion in planar domains. Probab. Th. Rel. Fields 101, 479–493 (1995). https://doi.org/10.1007/BF01202781
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DOI: https://doi.org/10.1007/BF01202781
Mathematics Subject Classification (1985)
- 60J50
- 60J45
- 60J65