Geodesic
Embedding theorems and a~characterization of traces in the spaces $H^p(U^n)$, $0$
Sbornik. Mathematics, Tome 35 (1979) no. 5, pp. 709-725

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A complete characterization is obtained of the measures $d\mu$ on the unit disk $U$ for which the operator $Df(z)=f(z,z,\dots,z)$ maps $H^p(U^n)$ into $L^p(d\mu)$, $0 p\infty$. The solution to a problem of W. Rudin is obtained as a corollary. Bibliography: 16 titles. 
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     author = {F. A. Shamoyan},
     title = {Embedding theorems and a~characterization of traces in the spaces $H^p(U^n)$, $0<p<\infty$},
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F. A. Shamoyan. Embedding theorems and a~characterization of traces in the spaces $H^p(U^n)$, $0