Geodesic
Two analogs of the theorem of Rudin--Carleson
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 200-209

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In this article a new asymptotic estimate for embeddings of singular measures into $H^{1,\infty}$ is proved and an application to multidimensional analogs of the theorem of Rudin–Carleson is given. 
@article{ZNSL_1997_247_a12,
     author = {M. M. Roginskaya},
     title = {Two analogs of the theorem of {Rudin--Carleson}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {200--209},
     publisher = {mathdoc},
     volume = {247},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a12/}
}
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M. M. Roginskaya. Two analogs of the theorem of Rudin--Carleson. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 200-209. http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a12/