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Wolff’s proof of the corona theorem. (English) Zbl 0466.46050

MSC:
46J15Banach algebras of differentiable or analytic functions, H p -spaces
30H05Bounded analytic functions
46J20Ideals, maximal ideals, boundaries of commutative topological algebras
References:
[1]M. Behrens,The maximal ideal space of algebras of bounded analytic functions on infinitely connected domains, Trans. Amer. Math. Soc.161 (1971), 359–380. · doi:10.1090/S0002-9947-1971-0435420-9
[2]L. Carleson,Interpolation by bounded analytic functions and the corona problem, Ann. of Math. (2)76 (1962), 547–559. MR 25 # 5186. · Zbl 0112.29702 · doi:10.2307/1970375
[3]L. Carleson,The corona theorem, Proc. Fiftieth Congress (Oslo, 1968), Lecture notes in Math.118, Springer, Berlin, 1970, pp. 121–132. MR 41 # 8696.
[4]T. W. Gamelin,Localization of the corona problem, Pacific J. Math.34 (1970), 73–81.
[5]T. W. Gamelin,Uniform Algebras and Jensen Measures, London Math. Soc. Lecture Notes Series # 32, Cambridge University Press, 1978.
[6]J. Garnett,Bounded Analytic Functions, Academic Press, to appear.
[7]L. Hörmander,Generators for some rings of analytic functions, Bull. Amer. Math. Soc.73 (1967), 943–949. MR 37 # 1977. · Zbl 0172.41701 · doi:10.1090/S0002-9904-1967-11860-3
[8]P. Koosis,Lectures on H p spaces, London Math. Soc. Lecture Note Series, to appear.
[9]N. Sibony,Prolongment analytique des fonctions holomorphes bornées, C. R. Acad. Sci. Paris275 (1972), 973–976.
[10]E. L. Stout,Two theorems concerning functions holomorphic on multiply connected domains, Bull. Amer. Math. Soc.69 (1963), 527–530. · Zbl 0112.30301 · doi:10.1090/S0002-9904-1963-10981-7
[11]T. Wolff, to appear.