A new approach to Nikolskii-Besov classes
Functional Analysis
2017-07-21 v1
Abstract
We give a new characterization of Nikolskii-Besov classes of functions of fractional smoothness by means of a nonlinear integration by parts formula in the form of a nonlinear inequality. A similar characterization is obtained for Nikolskii-Besov classes with respect to Gaussian measures on finite- and infinite-dimensional spaces.
Keywords
Cite
@article{arxiv.1707.06477,
title = {A new approach to Nikolskii-Besov classes},
author = {Vladimir I. Bogachev and Egor D. Kosov and Svetlana N. Popova},
journal= {arXiv preprint arXiv:1707.06477},
year = {2017}
}