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Dirichlet-Morrey type spaces and Volterra integral operators

Dirichlet-Morrey type spaces and Volterra integral operators

A family of Dirichlet-Morrey type space D p,λ p-1 is introduced in this paper.For any positive Borel measure µ, the boundedness and compactness of the identity operator I d from D p,λ p-1 to tent spaces T p s (µ) are studied.As an application, the boundedness of the Volttera integral …