Geodesic
A~generalization of Carleson's embedding theorem and the interpolation of $\ell^p$ sequences
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part IX, Tome 92 (1979), pp. 265-267

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Necessary and sufficient conditions ensuring the inclusion $H^q\subset L^s(\mu)$ (imposed on a measure $\mu$) are given. 
@article{ZNSL_1979_92_a17,
     author = {I. V. Videnskii},
     title = {A~generalization of {Carleson's} embedding theorem and the interpolation of $\ell^p$ sequences},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {265--267},
     publisher = {mathdoc},
     volume = {92},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a17/}
}
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I. V. Videnskii. A~generalization of Carleson's embedding theorem and the interpolation of $\ell^p$ sequences. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part IX, Tome 92 (1979), pp. 265-267. http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a17/