Bounds for Entropy Numbers of Some Critical Operators

Published 6 Feb 2010 in math.FA | (1002.1377v2)

Abstract: We provide upper bounds for entropy numbers for two types of operators: summation operators on binary trees and integral operators of Volterra type. Our efforts are concentrated on the critical cases where none of known methods works. Therefore, we develop a method which seems to be completely new and probably merits further applications.

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M. A. Lifshits

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