Keywords
- Banach Space
- Harmonic Function
- Interpolation Space
- Boundary Estimate
- Harmonic Field
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Agmon, S., Nirenberg, L.: Lower bounds and uniqueness theorems for solutions of differential equations in a Hilbert space. Comm. Pure Appl. Math. 20, 207–229 (1967).
Bergh, J., Löfström, J.: Interpolation spaces. An introduction. (Grundlehren 223.) Berlin-Heidelberg-New York: Springer-Verlag 1976.
Brackx, F., Delanghe, R., Sommen, F.: Clifford analysis. (Research notes in mathematics 76.) Boston-London-Melbourne: Pitman 1982.
Calderón, A. P.: Intermediate spaces and interpolation. Studia Math. (Special Seies) 1, 31–34 (1963).
Calderón, A. P.: Intermediate spaces and interpolation, the complex method. Studia Math. 24, 113–190 (1964).
Coifman, R., Cwikel, M., Rochberg, R., Sagher, Y., Weiss, G.: A theory of complex interpolation of families of Banach spaces. Advances Math. 43, 203–229 (1982).
Cwikel, M.: personal communication.
Cwikel, M., Janson, S.: Real and complex interpolation methods for finite and infinite families of Banach spaces.
Diestel, J., Uhl, J. J.: Vector measures. (Mathematical surveys 15.) Providence: American Mathematical Society 1967.
Favini, A.: Su una estansione del metodo d'interpolazione complesso. Rend. Sem. Mat. Univ. Padova 47, 244–298 (1972).
Fefferman, C., Stein, E.: Hp spaces of several variables. Acta Math. 129, 137–193 (1972).
Fernandez, D. L.: An extension of the complex method of interpolation. Boll. Un. Mat. Ital. B., 18, 721–732 (1981).
Gilbert, R. P., Buchanan, J. L.: First order elliptic systems. A function theoretic approach. New York, London, Paris, San Diego, San Fransisco, Saõ Paulo, Tokyo, Toronto: Academic Press 1983.
Horváth, J.: Sur les fonctions conjuguées à plusieurs variables. Indag. Math. 15, 15–29 (1953).
Kahane, J.-P.: personal communication.
Knops, R. J. (ed.): Symposium on non-well-posed problems and logarithmic convexity (held in Heriot-Watt university, Edinburgh/Scotland, March 22–24, 1972). (Lecture notes 316.) Berlin-Heidelberg-New York: Springer-Verlag 1973.
Kreĭn, S. G., Nikolova, L. I.: Holomorphic functions in a family of Banach spaces, interpolation. Dokl. Akad. Nauk SSSR 250, 547–550 (1980) [Russian].
Landys, E. M.: A three-sphere theorem. Dokl. Akad. Nauk SSSR 148, 227–229 (1963) [Russian].
Lasalle, M.: Deux généralizations du "théorème des trois circles" de Hadamard. Math. Ann. 249 (1980), 163–176.
Lions, J.-L.: Une construction d'espaces d'interpolation. C. R. Acad. Sci. Paris 251, 1853–1855 (1960).
Lions, J.-L.: Equations différentielles opérationnelles et problemes aux limites. (Grundlehren 111.) Berlin-Göttingen-Heidelberg: Springer-Verlag 1961.
Peetre, J.: Duality for Fernandez type spaces. Math. Nachr. [to appear].
Peetre, J.: Complex section theory, a generalization of complex function theory. (Conference on Interpolation Spaces, Aug. 4.–Aug. 5, 1982.) Technical report. Lund: 1982.
Protter, M. H., Weinberger, H.: Maximum principles in differential equations. Englewood Cliffs: Prentice-Hall 1967.
Radó, T.: Subharmonic functions. (Ergebnisse.) Berlin: Springer 1937.
Rochberg, R.: Interpolation of Banach spaces and negatively curved vector bundles. Pre-print.
Rochberg, R., Weiss, G.: Derivatives of analytic families of Banach spaces. Pre-print.
Schechter, M.: Complex interpolation. Compositio Math. 18, 117–147 (1967).
Stein, E., Weiss, G.: On the theory of harmonic functions of several variables, I. The theory of Hp-spaces. Acta Math. 103 25–62 (1960).
Vekua, N. I.: Generalized analytic functions. Moscow: Gos. Izdat. Fiz.-Mat. Lit. 1958 [Russian].
Weinstein, A.: On a class of partial differential equations of even order. Ann. Mat. Pura Appl. 39, 245–254 (1955).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Janson, S., Peetre, J. (1984). Harmonic interpolation. In: Cwikel, M., Peetre, J. (eds) Interpolation Spaces and Allied Topics in Analysis. Lecture Notes in Mathematics, vol 1070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099096
Download citation
DOI: https://doi.org/10.1007/BFb0099096
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13363-6
Online ISBN: 978-3-540-38913-2
eBook Packages: Springer Book Archive
