Abstract
The present article contains the formulation of a theorem which supplements the well-known uniqueness theorem for analytic functions with a finite Dirichlet integral established by L. Carleson [1].
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Literature Cited
L. Carleson, “Sets of uniqueness for functions regular in the unit circle,” Acta Mathematica, Vol. 87, Nos. 3–4, pp. 325–345 (1952).
J. P. Kahane and R. Salem, Ensembles Parfaits et Séries Trigonométriques, Paris (1966).
N. S. Landkof, Fundamentals of Modern Potential Theory [in Russian], GITTL, Moscow (1966).
J. Deny and J. L. Lions, “Les espaces du type de Beppo Levi,” Annales de l’Institut Fourier, Vol. 5, pp. 305–370 (1953).
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Maz’ya, V.G., Khavin, V.P. (1971). On Carleson’s Uniqueness Theorem for Analytic Functions with a Finite Dirichlet Integral. In: Smirnov, V.I. (eds) Linear Operators and Operator Equations. Problems in Mathematical Analysis / Problemy Matematicheskogo Analiza / Πроблемы Математического Анализа. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0013-8_8
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DOI: https://doi.org/10.1007/978-1-4757-0013-8_8
Publisher Name: Springer, Boston, MA
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