Article ID Journal Published Year Pages File Type
4616960 Journal of Mathematical Analysis and Applications 2013 14 Pages PDF
Abstract

We obtain sharp estimates of the Hardy–Vitali type total pp-variation of a function of two variables in terms of its mixed modulus of continuity in Lp([0,1]2)Lp([0,1]2).

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Physical Sciences and Engineering Mathematics Analysis
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Estimates of the total pp-variation of bivariate functions
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