Volterra integral operator and essential norm on Dirichlet type spaces

2021 ◽  
Vol 6 (9) ◽  
pp. 10092-10104
Author(s):  
Liu Yang ◽  
◽  
Ruishen Qian ◽  
Keyword(s):  
Integral Operator ◽  
Essential Norm ◽  
Dirichlet Type ◽  
Type Spaces ◽  
Volterra Integral Operator ◽  
Dirichlet Type Spaces

Embedding of Dirichlet type spaces into tent spaces and Volterra operators

2020 ◽  
pp. 1-12
Author(s):  
Ruishen Qian ◽  
Xiangling Zhu
Keyword(s):  
Integral Operators ◽  
Essential Norm ◽  
Function Spaces ◽  
General Function ◽  
Tent Spaces ◽  
Dirichlet Type ◽  
Volterra Operators ◽  
Type Spaces ◽  
Inclusion Mapping ◽  
Dirichlet Type Spaces

Abstract 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.

Multipliers on Dirichlet Type Spaces

2001 ◽  
Vol 17 (2) ◽  
pp. 263-272 ◽  
Author(s):  
Peng Yan Hu ◽  
Ji Huai Shi
Keyword(s):  
Dirichlet Type ◽  
Type Spaces ◽  
Dirichlet Type Spaces

Characterizations of Lipschitz-type, Bloch-type and Dirichlet-type spaces

2020 ◽  
Vol 191 (3) ◽  
pp. 513-536
Author(s):  
Shaolin Chen ◽  
Gang Liu ◽  
Antti Rasila
Keyword(s):  
Dirichlet Type ◽  
Type Spaces ◽  
Dirichlet Type Spaces
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