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Entropy numbers in function spaces with mixed integrability. (English) Zbl 1225.46032

This paper deals with entropy numbers for compact embeddings of Besov-Sobolev spaces with mixed integrability into Lebesgue spaces.
Historical comments and a reference to a sequential paper on the distribution of eigenvalues of some degenerate elliptic operators are given.

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
41A46 Approximation by arbitrary nonlinear expressions; widths and entropy
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