Geodesic
Quantitative theorems on Whitney type coverings
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 96-113

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The crucial point of the construction of an almost optimal decomposition for the couple $(L_q,W^k_p)$ was the covering theorem in which the parameter $\alpha$ ($\alpha$-capacity) is controlled. Here we give a detailed proof of this theorem for negative $\alpha$. 
@article{ZNSL_1997_247_a6,
     author = {N. Ya. Kruglyak},
     title = {Quantitative theorems on {Whitney} type coverings},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {96--113},
     publisher = {mathdoc},
     volume = {247},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a6/}
}
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N. Ya. Kruglyak. Quantitative theorems on Whitney type coverings. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 96-113. http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a6/