Geodesic
Entropy numbers of embedding operators of function spaces on sets with tree-like structure
Izvestiya. Mathematics , Tome 81 (2017) no. 6, pp. 1095-1142

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We obtain order estimates for the entropy numbers of embedding operators of weighted Sobolev spaces on a John domain as well as of two-weight summation operators on trees. To do this, we prove a general result on upper bounds for the entropy numbers of embedding operators of function spaces on sets with tree-like structure.
Keywords: entropy numbers, weighted Sobolev spaces, weighted summation operators, sets with tree-like structure. 
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     author = {A. A. Vasil'eva},
     title = {Entropy numbers of embedding operators of function spaces on sets with tree-like structure},
     journal = {Izvestiya. Mathematics },
     pages = {1095--1142},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2017_81_6_a3/}
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A. A. Vasil'eva. Entropy numbers of embedding operators of function spaces on sets with tree-like structure. Izvestiya. Mathematics , Tome 81 (2017) no. 6, pp. 1095-1142. http://geodesic.mathdoc.fr/item/IM2_2017_81_6_a3/