@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}, volume = {29}, year = {1993}, pages = {229-249}, mrnumber = {1227418}, zbl = {0777.60073}, language = {en}, url = {http://dml.mathdoc.fr/item/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) pp. 229-249. http://gdmltest.u-ga.fr/item/AIHPB_1993__29_2_229_0/
[1] Isoperimetric inequalities and applications, Pitman Publishing, Boston, 1980. | MR 572958 | Zbl 0436.35063
,[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 912657 | Zbl 0611.60071
,[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 1501708 | Zbl 0007.13001
and ,[5] Zur Theorie der Minimalflächen, Math Z., Vol. 9, 1921, pp. 154-160. | JFM 48.0590.02 | MR 1544458
,[6] The lifetime of conditioned Brownian motion, Z. Warsch. Verw. Gebiete, Vol. 65, 1983, pp. 1-11. | MR 717928 | Zbl 0506.60071
and ,[7] Classical Potential Theory and its Probabilistic Counterpart, Springer, New York, 1984. | MR 731258 | Zbl 0549.31001
,[8] Inequalities, 2nd Ed., Cambridge University Press, Cambridge, 1952. | MR 46395 | Zbl 0047.05302
, and ,[9] An Introduction to Harmonic Analysis, 2nd Ed., Dover, New York, 1976. | MR 422992 | Zbl 0352.43001
,[10] Introduction to Hp spaces, Cambridge University Press, Cambridge, 1980. | MR 1669574 | Zbl 0435.30001
,[11] A conformal inequality related to the conditional gauge theorem, Trans. Amer. Math. Soc., Vol. 318, 1990, pp. 721-733. | MR 957083 | Zbl 0705.60063
,[12] Analytic Functions, 3rd Ed., American Elsevier Publishing Co., New York, 1971. | MR 349963
and ,[13] A Martin boundary in the plane, Trans. Amer. Math. Soc., Vol. 293, 1986, pp. 623-642. | MR 816315 | Zbl 0591.60074
,[14] A Second Course in Complex Analysis, W. A. BENJAMIN Ed., Inc., New York, 1967. | MR 220903 | Zbl 0145.29901
,[15] The lifetime of conditioned Brownian motion in planar domains of finite area, Prob. Theory Related Fields, Vol. 87, 1991, pp. 469-487. | MR 1085178 | Zbl 0718.60092
,