On Schwarz’s lemma and inner functions
HTML articles powered by AMS MathViewer
- by Stephen D. Fisher PDF
- Trans. Amer. Math. Soc. 138 (1969), 229-240 Request permission
References
- Lars V. Ahlfors, Bounded analytic functions, Duke Math. J. 14 (1947), 1–11. MR 21108
- Lars Ahlfors and Arne Beurling, Conformal invariants and function-theoretic null-sets, Acta Math. 83 (1950), 101–129. MR 36841, DOI 10.1007/BF02392634
- Lennart Carleson, Selected problems on exceptional sets, Van Nostrand Mathematical Studies, No. 13, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0225986
- Stephen D. Fisher, Rational functions $H^{\infty }$ and $H^{p}$ on infinitely connected domains, Illinois J. Math. 12 (1968), 513–523. MR 226030
- Frank Forelli, The isometries of $H^{p}$, Canadian J. Math. 16 (1964), 721–728. MR 169081, DOI 10.4153/CJM-1964-068-3 O. Frostman, Potentiel d’équilibre et capacité des ensembles avec quelques applications à la théorie des fonctions, Medd. Lunds Univ. Mat. Sem. 3 (1935), 1-118.
- P. R. Garabedian, Schwarz’s lemma and the Szegö kernel function, Trans. Amer. Math. Soc. 67 (1949), 1–35. MR 32747, DOI 10.1090/S0002-9947-1949-0032747-8 S. Ya. Havinson, Analytic capacity of sets, joint nontriviality of various classes of analytic functions and the Schwarz lemma in arbitrary domains, Amer. Math. Soc. Transl. (2) 43 (1964), 215-266.
- R. R. Phelps, Extreme positive operators and homomorphisms, Trans. Amer. Math. Soc. 108 (1963), 265–274. MR 156224, DOI 10.1090/S0002-9947-1963-0156224-6
- Walter Rudin, Analytic functions of class $H_p$, Trans. Amer. Math. Soc. 78 (1955), 46–66. MR 67993, DOI 10.1090/S0002-9947-1955-0067993-3
- Walter Rudin, Some theorems on bounded analytic functions, Trans. Amer. Math. Soc. 78 (1955), 333–342. MR 67192, DOI 10.1090/S0002-9947-1955-0067192-5
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 138 (1969), 229-240
- MSC: Primary 30.52
- DOI: https://doi.org/10.1090/S0002-9947-1969-0240302-2
- MathSciNet review: 0240302