Uncommonly behaved Lipschitz domains
Resumen
En este artículo, queremos exhibir un dominio uniformemente Lipschitziano, tal que la intersección del dominio con cualquier bola centrada en el origen (el cual es un punto de la frontera) no es un dominio Lipschitziano.
Citas
A. Ancona, Une proprieté de la compactification de martin dans un domaine euclidien, Ann. lnst. Fourier 19 ( 1979).
Benedicks, Positive harmonic functions vanishing on the boundary of certain domains in lffi.n, Ark. Math 18 (1980).
Kai Lai Chung, A course in probability theory, Second edition, Academic Press, 1974.
Green, brown and probability, World, Scientific, Singapore, 1995.
J. L. Doob, Analytic potential theory and its probabilistic counterpart, Springer Verlag, 1983.
R. R. Hunt & R. L. Wheeden, On the boundary values of harmonic functions, Am. Math. Soc. 132 (1968), 307 {322.
D. S. Jerison & C. E. Kenig, Boundary behavior of harmonic functions on non tangentially accesible domains, Adv. Math 46 (1982).
R. Wittman, Positive harmonic functions on non tangentially accesible domains, Math. Z.
Benedicks, Positive harmonic functions vanishing on the boundary of certain domains in lffi.n, Ark. Math 18 (1980).
Kai Lai Chung, A course in probability theory, Second edition, Academic Press, 1974.
Green, brown and probability, World, Scientific, Singapore, 1995.
J. L. Doob, Analytic potential theory and its probabilistic counterpart, Springer Verlag, 1983.
R. R. Hunt & R. L. Wheeden, On the boundary values of harmonic functions, Am. Math. Soc. 132 (1968), 307 {322.
D. S. Jerison & C. E. Kenig, Boundary behavior of harmonic functions on non tangentially accesible domains, Adv. Math 46 (1982).
R. Wittman, Positive harmonic functions on non tangentially accesible domains, Math. Z.
