Abstract. We investigate Fubini-type properties of the space of functions of bounded Hardy--Vitali-type $p$-variation. This leads us to consider mixed norm spaces of bivariate functions whose linear sections have bounded $p$-variation in the sense of Wiener.
DOI: 10.14232/actasm-012-363-z
AMS Subject Classification
(1991): 26A45, 26B35, 46E35
Keyword(s):
Hardy--Vitali variation,
$p$-variation,
mixed norm spaces,
embeddings
Received December 28, 2012. (Registered under 113/2012.)
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