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Corona and Wolff theorems for the multiplier algebra of Dirichlet–Morrey spaces
Published online by Cambridge University Press: 13 January 2022
Abstract
For
$0<\lambda ,p<1$
, the Dirichlet–Morrey space
$\mathcal {D}_p^{\lambda } $
is the space of all analytic function on the unit disc such that the measure
$ |f'(z)|^2(1-|z|^2)^pdA(z)$
is a
$p\lambda $
-Carleson measure. In this paper, we show that the corona theorem and the Wolff theorem hold for the multiplier algebra of Dirichlet–Morrey spaces.
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- Copyright
- © Canadian Mathematical Society, 2022
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