Dirichlet-type spaces of the unit bidisc and toral 2-isometries
Santu Bera,
Sameer Chavan,
Soumitra Ghara
Abstract:We introduce and study Dirichlet-type spaces
$\mathcal D(\mu _1, \mu _2)$
of the unit bidisc
$\mathbb D^2,$
where
$\mu _1, \mu _2$
are finite positive Borel measures on the unit circle. We show that the coordinate functions
$z_1$
and
$z_2$
are multipliers for
$\mathcal D(\mu _1, \mu _2)$
and the complex polynomials are dense in
… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.