Estimates for entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases

2015/06/10 by Vasil'eva, A. A.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1506.03260

Abstract

In this paper we obtain order estimates for entropy numbers of embeddings of weighted Sobolev spaces into weighted Lebesgue spaces and of weighted summation operators on trees. Here we consider some critical conditions on the parameters.

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