References
O. Blasco, Boundary values of functions in vector-valued Hardy spaces and geometry on Banach spaces. J. Funct. Anal.78, 346–364 (1988).
O. Blasco andJ. García-Cuerva, Hardy classes of Banach-space-valued distributions. Math. Nachr.132, 57–65 (1987).
J.Bourgain, Vector-valued singular integrals and theH 1 —BMO duality. In: Probability Theory and Harmonic Analysis, J. A. Chao and W. A. Woyczynski, eds., 1–19, New York 1986.
A. V. Bukhvalov, Hardy spaces of vector-valued functions (Russian). Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. Akad. Nauk SSSR65, 5–16 (1976); English translation: J. Soviet Math.16, 1051–1059 (1981).
A. V. Bukhvalov, On the analytic Radon-Nikodým property, In: Semesterbericht Funktionalanalysis15, WS 1988/89, 43–58, Math. Inst. Tübingen 1989.
A. V. Bukhvalov andA. A. Danilevich, Boundary properties of analytic and harmonic functions with values in Banach space (Russian). Mat. Zametki31, 203–214 (1982); English translation: Math. Notes32, 104–110 (1982).
A. A. Danilevich, Some boundary properties of abstract analytic functions, and their applications (Russian). Mat. Sb. (142)100, 507–533 (1976); English translation: Math. USSR-Sb.29, 453–474 (1976).
J. Diestel andJ. J. Uhl, Jr., Vector Measures. Math. Surveys15, Amer. Math. Soc., Providence R.I. 1977.
N.Dinculeanu, Vector Measures. Hochschulbücher für Math.64, Berlin 1966.
P. L.Duren, Theory ofH p Spaces. Pure Appl. Math.38, New York-London-Boston 1970.
L.Egghe, Boundary limits of harmonic and analytic functions with values in a Banach space. Preprint, Limburgs Univ. Centrum, Univ. Campus, Diepenbeek.
J. B.Garnett, Bounded Analytic Functions. Pure and Appl. Math.96, New York-London-Boston 1981.
C. Grossetête, Classes de Hardy et de Nevanlinna pour les fonctions holomorphes à valeurs vectorielles. C. R. Acad. Sci. Paris274, 251–253 (1972).
M. Heins, Vector-valued harmonie functions. Colloq. Math. Soc. János Bolyai35, 621–632 (1980).
W.Hensgen, Hardy-Räume vektorwertiger Funktionen. Thesis, München 1986.
E. Hille andR. S. Phillips, Functional Analysis and Semi-Groups. Amer. Math. Soc. Coll. Publ.31, Amer. Math. Soc., Providence RI 1957.
P.Koosis, Introduction toH p Spaces. London Math. Soc. Lect. Note Ser.40, Cambridge-New York 1980.
I. I.Priwalow, Randeigenschaften analytischer Funktionen. 2. Aufl. Hochschulbücher für Math.25, Berlin 1956.
W. J. Ricker, Characterization of Poisson integrals of vector-valued functions and measures on the unit circle. Hokkaido Math. J.16, 29–42 (1987).
W.Rudin, Real and Complex Analysis. 2nd ed. New Delhi 1981.
R. Ryan, The F. and M. Riesz theorem for vector measures. Indag. Math.66, 408–412 (1963).
I. Singer, Sur les applications linéaires intégrales des espaces des fonctions continues. Rev. Roumaine Math. Pures Appl.4, 391–401 (1959).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hensgen, W. Some remarks on boundary values of vector-valued harmonic and analytic functions. Arch. Math 57, 88–96 (1991). https://doi.org/10.1007/BF01200044
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01200044