Lian Hu, Rong Yang, Songxiao Li, Dirichlet-Morrey type spaces and Volterra integral operators
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DOI: 10.23952/jnva.5.2021.3.10
Volume 5, Issue 3, 1 June 2021, Pages 477-491
Abstract. A family of Dirichlet-Morrey type space is introduced in this paper. For any positive Borel measure
, the boundedness and compactness of the identity operator
from
to tent spaces
are studied. As an application, the boundedness of the Volttera integral operators
and
, and the multiplication operator
from
to the general function space
are studied. The essential norm of
and
are also investigated.
How to Cite this Article:
Lian Hu, Rong Yang, Songxiao Li, Dirichlet-Morrey type spaces and Volterra integral operators, J. Nonlinear Var. Anal. 5 (2021), 477-491.