Corona and Wolff theorems for the multiplier algebra of Dirichlet–Morrey spaces
Canadian mathematical bulletin, Tome 65 (2022) no. 4, pp. 963-975
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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.
Mots-clés :
Dirichlet–Morrey space, corona theorem, Wolff theorem, Carleson measure
Hu, Lian; Li, Songxiao; Yang, Rong. Corona and Wolff theorems for the multiplier algebra of Dirichlet–Morrey spaces. Canadian mathematical bulletin, Tome 65 (2022) no. 4, pp. 963-975. doi: 10.4153/S0008439522000030
@article{10_4153_S0008439522000030,
author = {Hu, Lian and Li, Songxiao and Yang, Rong},
title = {Corona and {Wolff} theorems for the multiplier algebra of {Dirichlet{\textendash}Morrey} spaces},
journal = {Canadian mathematical bulletin},
pages = {963--975},
year = {2022},
volume = {65},
number = {4},
doi = {10.4153/S0008439522000030},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000030/}
}
TY - JOUR AU - Hu, Lian AU - Li, Songxiao AU - Yang, Rong TI - Corona and Wolff theorems for the multiplier algebra of Dirichlet–Morrey spaces JO - Canadian mathematical bulletin PY - 2022 SP - 963 EP - 975 VL - 65 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000030/ DO - 10.4153/S0008439522000030 ID - 10_4153_S0008439522000030 ER -
%0 Journal Article %A Hu, Lian %A Li, Songxiao %A Yang, Rong %T Corona and Wolff theorems for the multiplier algebra of Dirichlet–Morrey spaces %J Canadian mathematical bulletin %D 2022 %P 963-975 %V 65 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000030/ %R 10.4153/S0008439522000030 %F 10_4153_S0008439522000030
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