Literatur
Adams, R.A.: Sobolev spaces. New York: Academic Press 1975
Beurling, A.: Construction and analysis of some convolution algebras. Ann. Inst. Fourie14, 1–32 (1964)
van Casteren, J.A.: Operators similar to unitary or self-adjoint ones. Pac. J. Math.104, 241–255 (1983)
Colojoara, I., Foias, C.: Theory of generalized spectral operators. New York: Gordon and Breach 1968
Dowson, H.R.: Spectral theory of linear operators. London: Academic Press 1978
Droste, B.: Fortsetzung des holomorphen Funktionalkalküls in mehreren Variablen auf Algebren mit Zerlegung der Eins. Dissertation. Mainz 1980
Droste, B.: Extension of analytic functional calculus mappings and duality by\(\bar \partial\)-closed forms with growth. Math. Ann.261, 185–200 (1982)
Dunford, N., Schwartz, J.T.: Linear operators. III. New York: Wiley 1971
Duren, P.L.: Theory ofH p spaces. New York: Academic Press 1970
Dyn'kin, E.M.: An operator calculus based on the Cachy-Green-formula, and the quasi analyticity of the classesD(h). Seminars in Mathematics. Steklov Math. Inst., Leningrad19, 128–131 (1970)
Edwards, R.E.: Fourier series, Vol. I, II. New York: Holt, Rinehart, and Winston 1967
Garret, J.B.: Bounded analytic functions. New York: Academic Press 1981
Gramsch, B.: An extension method of the duality theory of locally convex spaces with applications to extension kernels and the operational calculus. Functional analysis: surveys and recent results. (Proc. Conf. Paderborn, 1976), 131–147. North-Holland Math. Studies, Vol. 27. Amsterdam: North-Holland 1977
Gramsch, B.: Ein Schwach-Stark-Prinzip in der Dualitätstheorie lokalkonvexes Räume als Fortsetzungsmethode. Math. Z.156, 217–230 (1977)
Hernández, J.: Funktionalkalküle mit Spektrum auf dem Einheitskreis. Diplomarbeit. Mainz 1979
Hoffman, K.: Banach spaces of analytic functions. Englewood Cliffs: Prentice Hall 1962
Kalb, K.G.: Charakterisierung\(\mathfrak{A}\)-selbstadjungierter Operatoren durch ihre Resolventenfunktion. Math. Nachr.99, 221–230 (1980)
Kantorovitz, S.: Classification of operators by means of their operational calculus. Trans. Am. Math. Soc.115, 194–224 (1965)
Köthe, G.: Die Randverteilungen analytischer Funktionen. Math. Z.57, 13–33 (1952)
Korenbljum, B.I.: Invariant subspaces of the shift operator in weighted Hilbert space. Math. USSR Sb.18, 111–138 (1972)
Maeda, F.Y.: Generalized unitary operators. Bull. Am. Math. Soc.71, 631–633 (1965)
Marschall, E.: Funktionalkalküle für abgeschlossene linear Operatoren in Banachräumen. Manuscripta math.35, 277–310 (1981)
Nordgren, E.A.: Composition operators. Hilbert Space Operators, Proceedings Long Beach, California, 1977. Lecture Notes in Mathematics, Vol. 693, pp. 37–63. Berlin, Heidelberg, New York: Springer 1978
Nordgren, E.A.: Composition operators. Canad. J. Math.20, 442–449 (1968)
Roan, R.C.: Composition operators on the space of functions withH p-derivative. Houston J. Math.4, 423–438 (1978)
Ryff, J.V.: SubordinateH p functions. Duke Math.33, 347–354 (1966)
Sz.-Nagy, B., Foias, C.: Harmonic analysis of operators on Hilbert space. Amsterdam: North-Holland 1970
Taylor, A.E.: On certain Banach spaces whose elements are analytic functions. Actas Acad. nac. Ci. exact. fis. natur. Lima12, 31–43 (1949). MR 11-669
Tillmann, H.G.: Eine Erweiterung des Funktionalkalküls für lineare Operatoren. Math. Ann.151, 424–430 (1963)
Wermer, J.: The existence of invariant subspaces. Duke Math. J.19, 615–622 (1952)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kalb, K.G. Sobolev- und Sobolev-Hardy-Räume aufS 1: Dualitätstheorie und Funktionalkalküle. Math. Ann. 267, 161–197 (1984). https://doi.org/10.1007/BF01579198
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01579198