References
Ahlfors, L.V.: Lectures on quasiconformal mappings. Wokingham: Van Nostrand 1966
Browder, A.: Introduction to function algebras. New York: Benjamin 1969
Davie, A.M.: Bounded limits of analytic functions. Proc. Am. Math. Soc.32, 127–133 (1972)
Davie, A.M.: An example on rational approximation. Bull. Lond. Math. Soc.2, 83–86 (1970)
Fuglede, B.: Sur les fonctions finement holomorphes. Ann. Inst. Fourier21, 57–88 (1981)
Gamelin, T.W.: Uniform algebras. Englewood Cliffs: Prentice-Hall 1969
Gamelin, T.W.: Uniform algebras on plane sets. In: Approximation theory, pp.101–149. London, New York: Academic Press 1973
Khavinson, D.: On a geometric approach to problems concerning Cauchy integrals and rational approximation. Thesis, Brown University, 1983
Lyons, T.: Finely holomorphic functions. In Brannan, D., Clunie, J. (eds.): Aspects of contemporary complex analysis, pp.451–459. London, New York: Academic Press 1980
Melnikov, M.S.: A bound for the Cauchy integral along an analytic curve. Math. USSR Sb.71, 503–515 (1966)
O'Farrell, A.G.: Density of parts of algebras on the plane. Trans. Am. Math. Soc.196, 403–414 (1974)
O'Farrell, A.G.: Rational approximation in Lipschitz norms. I Proc. R. Ir. Acad.77A, 113–115 (1977)
O'Farrell, A.G.: Analytic capacity, Hölder conditions, and τ-spikes. Trans. Am. Math. Soc.196, 415–424 (1974)
O'Farrell, A.G.: Analytic capacity and equicontinuity. Bull. Lond. Math. Soc.10, 276–279 (1978)
Paramonov: On the interconnection of local and global approximations by holomorphic functions. Math. USSR Izv.20, 103–118 (1983)
Rubel, L.A.: An extension of Runge's theorem. Proc. Am. Math. Soc.47, 261–262 (1975)
Steen, L.A.: On uniform approximation by rational functions. Am. Math. Soc.17, 1007–1011 (1966)
Stein, E.M.: Singular integrals and differentiability properties of functions. Princeton: Princeton University Press 1970
Vitushkin, A.G.: Analytic capacity of sets in problems of approximation theory. Russ. Math. Surv.22, 139–200 (1967)
Wang, J.L.: An approximate Taylor's theorem forR(X). Math. Scand.33, 343–358 (1973)
Wang, J.L.: Modulus of approximate continuity forR(X). Math. Scand.34, 219–225 (1974)
Wermer, J.: Bounded point derivations on certain Banach algebras. J. Funct. Anal.1, 28–36 (1967)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
O'Farrell, A.G. Rational approximation and weak analyticity. I. Math. Ann. 273, 375–381 (1986). https://doi.org/10.1007/BF01450728
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01450728