Volterra Integral Operators from Campanato Spaces into General Function Spaces

摘要

In this paper, the boundedness and compactness of embedding from Campanato spaces L_(p,λ) into tent spaces T_(p,s)(μ) are investigated. As an application, we give a characterization for the boundedness of the Volterra integral operator J_g from L_(p,λ) to general function spaces F(p, p - 1-λ, s). Meanwhile, the operator I_g and the multiplication operator M_g from L_(p,λ) to F(p, p - 1 - λ, s) are studied. Furthermore, the essential norm of J_g and I_g from L_(p,λ) to F(p, p - 1 -λ, s) is also considered.