Bounds for Entropy Numbers of Some Critical Operators
Functional Analysis
2012-12-04 v2
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.
Keywords
Cite
@article{arxiv.1002.1377,
title = {Bounds for Entropy Numbers of Some Critical Operators},
author = {M. A. Lifshits},
journal= {arXiv preprint arXiv:1002.1377},
year = {2012}
}
Comments
In the second version, the exposition is smoother and the regular case is included for completeness