Abstract
The embedding theorems mentioned in the title are proved for Hilbert spaces of holomorphic and harmonic functions satisfying slow growth conditions near the boundary. Bibliography: 3 titles.
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Literature Cited
S. A. Vinogradov, “Analogs of the Carleson embedding theorem for some spaces of analytic functions,”Zap. Nauchn. Semin. LOMI. 141, 144–148 (1985).
N. K. Nikolskii,Treatise on the Shift Operator, Springer-Verlag, Heidelberg (1986).
V. G. Maz'ya and T. O. Shaposhnikova,Multipliers in the Spaces of Differential Functions, Publishing house of Leningrad University, Leningrad (1986).
Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 206, 1993. pp. 40–54.
Translated by V. I. Vasyunin.
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Vinogradov, S.A. Some analogs of the Carleson embedding theorem for certain Hilbetr spaces of analytic functions. J Math Sci 80, 1897–1907 (1996). https://doi.org/10.1007/BF02367004
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DOI: https://doi.org/10.1007/BF02367004