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.)