Geodesic
Analogues of the Carleson imbedding theorem for certain spaces of analytic functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIV, Tome 141 (1985), pp. 144-148

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One considers analogues of Carleson's classical imbedding theorems for spaces of slowly increasing analytic and harmonic functions. 
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     author = {S. A. Vinogradov},
     title = {Analogues of the {Carleson} imbedding theorem for certain spaces of analytic functions},
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S. A. Vinogradov. Analogues of the Carleson imbedding theorem for certain spaces of analytic functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIV, Tome 141 (1985), pp. 144-148. http://geodesic.mathdoc.fr/item/ZNSL_1985_141_a6/