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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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- © Canadian Mathematical Society, 2022