Geodesic
Embedding Theorems for Dirichlet Type Spaces
Canadian mathematical bulletin, Tome 63 (2020) no. 1, pp. 106-117

Voir la notice de l'article provenant de la source Cambridge University Press

We use the Carleson measure-embedding theorem for weighted Bergman spaces to characterize the positive Borel measures $\unicode[STIX]{x1D707}$ on the unit disc such that certain analytic function spaces of Dirichlet type are embedded (compactly embedded) in certain tent spaces associated with a measure $\unicode[STIX]{x1D707}$. We apply these results to study Volterra operators and multipliers acting on the mentioned spaces of Dirichlet type.
DOI : 10.4153/S0008439519000201
Mots-clés : Dirichlet type space, Carleson measure, Volterra integral operator 
Li, Songxiao; Liu, Junming; Yuan, Cheng. Embedding Theorems for Dirichlet Type Spaces. Canadian mathematical bulletin, Tome 63 (2020) no. 1, pp. 106-117. doi: 10.4153/S0008439519000201
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