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

DOI

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
@article{10_4153_S0008439519000201,
     author = {Li, Songxiao and Liu, Junming and Yuan, Cheng},
     title = {Embedding {Theorems} for {Dirichlet} {Type} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {106--117},
     year = {2020},
     volume = {63},
     number = {1},
     doi = {10.4153/S0008439519000201},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000201/}
}
TY  - JOUR
AU  - Li, Songxiao
AU  - Liu, Junming
AU  - Yuan, Cheng
TI  - Embedding Theorems for Dirichlet Type Spaces
JO  - Canadian mathematical bulletin
PY  - 2020
SP  - 106
EP  - 117
VL  - 63
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000201/
DO  - 10.4153/S0008439519000201
ID  - 10_4153_S0008439519000201
ER  - 
%0 Journal Article
%A Li, Songxiao
%A Liu, Junming
%A Yuan, Cheng
%T Embedding Theorems for Dirichlet Type Spaces
%J Canadian mathematical bulletin
%D 2020
%P 106-117
%V 63
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000201/
%R 10.4153/S0008439519000201
%F 10_4153_S0008439519000201

Cité par Sources :