Abstract:
Let f be a function in the Douglas algebra A and let I be a finitely generated ideal in A. We give an estimate for the distance from f to I that allows us to generalize a result obtained by Bourgain for H∞ to arbitrary Douglas algebras.
Registro:
Documento: |
Artículo
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Título: | An upper bound for the distance to finitely generated ideals in Douglas algebras |
Autor: | Gorkin, P.; Mortini, R.; Suàrez, D. |
Filiación: | Department of Mathematics, Bucknell University, Lewisburg, PA 17837, United States Departamento de Matemática, Facultad de Cs. Exactas y Naturales, Ciudad Universitaria, (1428) Núñez, Cap. Fed., Argentina Dept. de Mathématiques, Université de Metz, Ile du Saulcy, F-57045 Metz, France
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Palabras clave: | Douglas algebras; Maximal ideal space |
Año: | 2001
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Volumen: | 148
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Número: | 1
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Página de inicio: | 23
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Página de fin: | 36
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DOI: |
http://dx.doi.org/10.4064/sm148-1-3 |
Título revista: | Studia Mathematica
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Título revista abreviado: | Stud. Math.
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ISSN: | 00393223
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v148_n1_p23_Gorkin |
Referencias:
- Axler, S., Factorization of L∞ functions (1977) Ann. of Math., 106, pp. 567-572
- Bourgain, J., On finitely generated closed ideals in H∞(double-struck D) (1985) Ann. Inst. Fourier (Grenoble), 35 (4), pp. 163-174
- Carleson, L., Interpolations by bounded analytic functions and the corona problem (1962) Ann. of Math., 76, pp. 547-559
- Chang, S.-Y., A characterization of Douglas algebras (1976) Acta Math., 137, pp. 81-90
- Dahlberg, B., Approximation of harmonic functions (1980) Ann. Inst. Fourier (Grenoble), 30 (2), pp. 97-107
- Garnett, J.B., (1981) Bounded Analytic Functions, , Academic Press, New York
- Gorkin, P., Mortini, R., A survey of closed ideals in familiar function algebras (1998) Contemp. Math., 232, pp. 161-170. , Function Spaces Edwardsville, IL, Amer. Math. Soc., Providence, RI
- Guillory, C., Sarason, D., Division in H∞ + C (1981) Michigan Math. J., 28, pp. 173-181
- Hoffman, K., (1962) Banach Spaces of Bounded Analytic Functions, , Prentice-Hall, Englewood Cliffs, NJ
- Izuchi, K., Izuchi, Y., Inner functions and division in Douglas algebras (1986) Michigan Math. J., 33, pp. 435-443
- Jones, P., Carleson measures and the Fefferman-Stein decomposition of BMO(ℝ) (1980) Ann. of Math., 111, pp. 197-208
- Marshall, D.E., Subalgebras of L∞ containing H∞ (1976) Acta Math., 137, pp. 91-98
- Rao, K.V.R., On a generalized corona problem (1967) J. Anal. Math., 18, pp. 277-278
- Stout, E.L., (1971) The Theory of Uniform Algebras, , Bogden and Quigley, Belmont, CA
- Wolff, T.H., Two algebras of bounded analytic functions (1982) Duke Math. J., 49, pp. 321-328
Citas:
---------- APA ----------
Gorkin, P., Mortini, R. & Suàrez, D.
(2001)
. An upper bound for the distance to finitely generated ideals in Douglas algebras. Studia Mathematica, 148(1), 23-36.
http://dx.doi.org/10.4064/sm148-1-3---------- CHICAGO ----------
Gorkin, P., Mortini, R., Suàrez, D.
"An upper bound for the distance to finitely generated ideals in Douglas algebras"
. Studia Mathematica 148, no. 1
(2001) : 23-36.
http://dx.doi.org/10.4064/sm148-1-3---------- MLA ----------
Gorkin, P., Mortini, R., Suàrez, D.
"An upper bound for the distance to finitely generated ideals in Douglas algebras"
. Studia Mathematica, vol. 148, no. 1, 2001, pp. 23-36.
http://dx.doi.org/10.4064/sm148-1-3---------- VANCOUVER ----------
Gorkin, P., Mortini, R., Suàrez, D. An upper bound for the distance to finitely generated ideals in Douglas algebras. Stud. Math. 2001;148(1):23-36.
http://dx.doi.org/10.4064/sm148-1-3