Extending functions from Nikolskii-Besov spaces of mixed smoothness beyond a cube
Classical Analysis and ODEs
2019-02-28 v1 Functional Analysis
Abstract
The article examines Nikolskii and Besov spaces with norms defined using "-averaged" mixed moduli of continuity of functions of appropriate orders, instead of mixed moduli of continuity of known orders for certain mixed derivative functions. The author builds continuous linear mappings of such spaces of functions defined on cube to ordinary Nikolskii and Besov spaces of mixed smoothness in that are function extension operators, thus incurring coincidence of both kinds of spaces on the cube
Keywords
Cite
@article{arxiv.1902.10368,
title = {Extending functions from Nikolskii-Besov spaces of mixed smoothness beyond a cube},
author = {S. N. Kudryavtsev},
journal= {arXiv preprint arXiv:1902.10368},
year = {2019}
}
Comments
russian, 61 pages