Uniform exponential bound for the normalized empirical process
J. Yukich (1986)
Studia Mathematica
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Uniform exponential bound for the normalized empirical process
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Let id be the natural embedding of the Sobolev space in the Zygmund space , where , 1 < p < ∞, l ∈ ℕ, 1/p = 1/q + l/n and a < 0, a ≠ -l/n. We consider the entropy numbers of this embedding and show that , where η = min(-a,l/n). Extensions to more general spaces are given. The results are applied to give information about the behaviour of the eigenvalues of certain operators of elliptic type.
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