Coefficient Inequalities for Lp-Valued Analytic Functions
Canadian mathematical bulletin, Tome 24 (1981) no. 3, pp. 347-350

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A Hausdorff-Young theorem is given for Lp-valued analytic functions on the open unit disc and estimates on such functions and their derivatives are deduced.
Harris, Lawrence A. Coefficient Inequalities for Lp-Valued Analytic Functions. Canadian mathematical bulletin, Tome 24 (1981) no. 3, pp. 347-350. doi: 10.4153/CMB-1981-052-8
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[1] 1. Bromwich, T. J., Theory of Infinite Series, Macmillan, 2nd ed., London 1926. Google Scholar

[2] 2. Dunford, N. and Schwartz, J. T., Linear Operators, Interscience, New York, pt. I, 1958. Google Scholar

[3] 3. Duren, P. L., Theory of H Spaces, Academic Press, New York, 1970. Google Scholar

[4] 4. Hardy, G. H., Littlewood, J. E. and Polya, G., Inequalities, Cambridge University Press, London, 1934. Google Scholar

[5] 5. Harris, L., Bounds on the derivatives of holomorphic functions of vectors, Proc. Colloq. Analysis, Rio de Janeiro, 1972, 145-163, Nachbin, L., Ed., Act. Sci. et Ind. Paris: Hermann, 1975. Google Scholar

[6] 6. Hayden, T. and Wells, J., On the extension of Lipschitz-Hôlder maps of order a, J. Math. Anal. Appl. 33 (1971), 627-640. Google Scholar

[7] 7. Hille, E. and Phillips, R. S., Functional Analysis and Semi-Groups, Amer. Math. Soc. Colloq. Publ. 31, Providence, 1957. Google Scholar

[8] 8. Kestelman, H., Modern Theories of Integration, Oxford University Press, London 1937. Google Scholar

[9] 9. Renaud, A., Quelques propriétés des applications analytiques d'une boule de dimension infinie dans une autre, Bull. Sci. Math. 97 (1973), 129-159. Google Scholar

[10] 10. Titchmarsh, E. C., The Theory of Functions, Oxford University Press, 2nded., London 1939. Google Scholar

[11] 11. Williams, L. R. and Wells, J. H., Lp inequalities, J. Math. Anal. Appl. 64 (1978), 518-529. Google Scholar

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