On embeddings of spaces of bivariate functions of bounded $p$-variation
Classical Analysis and ODEs
2012-08-27 v1
Abstract
We obtain sharp estimates of the Hardy-Vitali type total -variation of a function of two variables in terms of its mixed modulus of continuity in . We also investigate various embeddings for mixed norm spaces of bivariate functions whose linear sections have bounded -variation in the sense of Wiener
Keywords
Cite
@article{arxiv.1208.4936,
title = {On embeddings of spaces of bivariate functions of bounded $p$-variation},
author = {Martin Lind},
journal= {arXiv preprint arXiv:1208.4936},
year = {2012}
}