Tangential Boundary Behaviour of Harmonic Functions on Trees

[A] Aikawa, H.: Harmonic functions having no tangential limits, Proc. Amer. Math. Soc. 108(1990), 457-464. [C] Cartier, P.: Fonctions harmoniques sur un arbre, Symposia Math. 9(1972), 203-270. [DB] Di Biase, F.: Tangential curves and Fatou's theorem on trees, Bull. London Math. Soc., to appear. [DB-P] Di Biase, F. and Picardello, M. A.: The Green formula and H p spaces on trees, Math. Z. 218(1995), 253-272. [F] Fatou, P.: Séries trigonométriques et séries de Taylor, Acta Math. 30(1906), 335-400. [FT-N] Figà Talamanca, A. and Nebbia, C.: Harmonic Analysis and Representation Theory for Groups Acting on Homogeneous Trees, Cambridge University Press, Cambridge, 1991. [G] Garsia, A.: Topics in Almost Everywhere Convergence, Markham, Chicago, 1970. [H] Hewitt, E.: The ranges of certain convolution operators, Math. Scand. 15(1964), 147-155. [K-P] Koranyi, A. and Picardello, M. A.: Boundary behaviour of eigenfunctions of the Laplace operator on trees, Ann. Scuola Norm. Sup. Pisa 13(1986), 389-399. [K-P-T] Koranyi, A., Picardello, M. A. and Taibleson, M. H.: Hardy spaces on nonhomogeneous trees, Symp. Math. 29(1988), 206-265. [L] Littlewood, J. E.: On a theorem of Fatou, J. London Math. Soc. 2(1927), 172-176. [L-P] Lohwater, A. J. and Piranian, G.: The boundary behavior of functions analytic in a disk, Ann. Acad. Sci. Fenn. Ser. A I 239(1957). [P-W-1] Picardello, M. A. and Woess, W.: Martin boundaries of random walks: end of trees and groups, Trans. Amer. Math. Soc. 302(1987), 185-205. [P-W-2] Picardello, M. A. and Woess, W.: A converse to the mean value property on homogenuous trees, Trans. Amer. Math. Soc. 311(1989), 209-225. [N-R-S] Nagel, A., Rudin, W. and Shapiro, J. H.: Tangential boundary behavior of function in Dirichlet-type spaces, Ann. of Math. 116(1982), 331-360. [S] Stein, E. M.: Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, 1970. [S-W] Stein, E. M. and Weiss, G.: Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press, 1971. [Z] Zygmund, A.: On a theorem of Littlewood, Summa Brasiliensis Math. 2(1949), 1-7.