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arXiv · 1208.4936

On embeddings of spaces of bivariate functions of bounded $p$-variation

Martin Lind
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Abstract

We obtain sharp estimates of the Hardy-Vitali type total $p$-variation of a function of two variables in terms of its mixed modulus of continuity in $L^p([0,1]^2)$. We also investigate various embeddings for mixed norm spaces of bivariate functions whose linear sections have bounded $p$-variation in the sense of Wiener

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Martin Lind. 2012-08-24. On embeddings of spaces of bivariate functions of bounded $p$-variation. https://arxiv.org/abs/1208.4936

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