@article{AIHPB_1993__29_2_229_0, author = {Griffin, Philip S. and McConnell, Terry R. and Verchota, Gregory}, title = {Conditioned brownian motion in simply connected planar domains}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {229--249}, publisher = {Gauthier-Villars}, volume = {29}, number = {2}, year = {1993}, mrnumber = {1227418}, zbl = {0777.60073}, language = {en}, url = {http://www.numdam.org/item/AIHPB_1993__29_2_229_0/} }
TY - JOUR AU - Griffin, Philip S. AU - McConnell, Terry R. AU - Verchota, Gregory TI - Conditioned brownian motion in simply connected planar domains JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1993 SP - 229 EP - 249 VL - 29 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1993__29_2_229_0/ LA - en ID - AIHPB_1993__29_2_229_0 ER -
%0 Journal Article %A Griffin, Philip S. %A McConnell, Terry R. %A Verchota, Gregory %T Conditioned brownian motion in simply connected planar domains %J Annales de l'I.H.P. Probabilités et statistiques %D 1993 %P 229-249 %V 29 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPB_1993__29_2_229_0/ %G en %F AIHPB_1993__29_2_229_0
Griffin, Philip S.; McConnell, Terry R.; Verchota, Gregory. Conditioned brownian motion in simply connected planar domains. Annales de l'I.H.P. Probabilités et statistiques, Tome 29 (1993) no. 2, pp. 229-249. http://www.numdam.org/item/AIHPB_1993__29_2_229_0/
[1] Isoperimetric inequalities and applications, Pitman Publishing, Boston, 1980. | MR | Zbl
,[2] On the estimate of Cranston and McConnell for elliptic diffusions in uniform domains, Prob. Th. Rel. Fields, Vol. 76, 1987, pp. 311-323. | MR | Zbl
,[3] Conditional Brownian motion and hyperbolic geodesics in simply connected domains, (Preprint).
and ,[4] Subharmonic functions and surfaces of negative curvature, Trans. Amer. Math. Soc., Vol. 35, 1933, pp. 662-674. | MR | Zbl
and ,[5] Zur Theorie der Minimalflächen, Math Z., Vol. 9, 1921, pp. 154-160. | JFM | MR
,[6] The lifetime of conditioned Brownian motion, Z. Warsch. Verw. Gebiete, Vol. 65, 1983, pp. 1-11. | MR | Zbl
and ,[7] Classical Potential Theory and its Probabilistic Counterpart, Springer, New York, 1984. | MR | Zbl
,[8] Inequalities, 2nd Ed., Cambridge University Press, Cambridge, 1952. | MR | Zbl
, and ,[9] An Introduction to Harmonic Analysis, 2nd Ed., Dover, New York, 1976. | MR | Zbl
,[10] Introduction to Hp spaces, Cambridge University Press, Cambridge, 1980. | MR | Zbl
,[11] A conformal inequality related to the conditional gauge theorem, Trans. Amer. Math. Soc., Vol. 318, 1990, pp. 721-733. | MR | Zbl
,[12] Analytic Functions, 3rd Ed., American Elsevier Publishing Co., New York, 1971. | MR
and ,[13] A Martin boundary in the plane, Trans. Amer. Math. Soc., Vol. 293, 1986, pp. 623-642. | MR | Zbl
,[14] A Second Course in Complex Analysis, W. A. BENJAMIN Ed., Inc., New York, 1967. | MR | Zbl
,[15] The lifetime of conditioned Brownian motion in planar domains of finite area, Prob. Theory Related Fields, Vol. 87, 1991, pp. 469-487. | MR | Zbl
,