Geodesic
Embedding of Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ into tent spaces and Volterra operators
Canadian mathematical bulletin, Tome 64 (2021) no. 3, pp. 697-708

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DOI

In this paper, we study the boundedness and compactness of the inclusion mapping from Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ to tent spaces. Meanwhile, the boundedness, compactness, and essential norm of Volterra integral operators from Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ to general function spaces are also investigated.
DOI : 10.4153/S0008439520000764
Mots-clés : Dirichlet type space, Volterra integral operator, Carleson measure, tent space, essential norm 
Qian, Ruishen; Zhu, Xiangling. Embedding of Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ into tent spaces and Volterra operators. Canadian mathematical bulletin, Tome 64 (2021) no. 3, pp. 697-708. doi: 10.4153/S0008439520000764
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     author = {Qian, Ruishen and Zhu, Xiangling},
     title = {Embedding of {Dirichlet} type spaces $\mathcal {D}^{p}_{p-1 }$ into tent spaces and {Volterra} operators},
     journal = {Canadian mathematical bulletin},
     pages = {697--708},
     year = {2021},
     volume = {64},
     number = {3},
     doi = {10.4153/S0008439520000764},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000764/}
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