Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 96-113
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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/
@article{ZNSL_1997_247_a6,
author = {N. Ya. Kruglyak},
title = {Quantitative theorems on {Whitney} type coverings},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {96--113},
year = {1997},
volume = {247},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a6/}
}
TY - JOUR
AU - N. Ya. Kruglyak
TI - Quantitative theorems on Whitney type coverings
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 96
EP - 113
VL - 247
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a6/
LA - ru
ID - ZNSL_1997_247_a6
ER -
%0 Journal Article
%A N. Ya. Kruglyak
%T Quantitative theorems on Whitney type coverings
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 96-113
%V 247
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a6/
%G ru
%F ZNSL_1997_247_a6
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 $\alpha$.
