Embedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spaces.

In this paper, the boundedness and compactness of embedding from Dirichlet-Morrey spaces Dʎ_p into tent spaces T_s(µ) are investigated. As an application, we characterize the boundedness of the Volterra integral operator J_g from Dʎ^p to general function spaces F(2, p(1 - ʎ), s). Meanwhile, the operator Ig and the multiplication operator M_g from Dʎ_p to F(2, p(1 - ʎ), s) are studied. Furthermore, the essential norm of J_g and I_g from Dʎ_p to F(2, p(1 - ʎ), s) are also considered. [ABSTRACT FROM AUTHOR]