Vector-Valued Dirichlet-Type Functions on the Unit Ball of C^n

摘要

The vector-valued Dirichlet-type spaces on the unit ball of C^n is introduced. We discuss the pointwise multipliers of Dirichlet-type spaces. Sufficient conditions of the pointwise multipliers of D^2_μ for 0≤μ<2 if n=1 or D^2_μ,q for 0<μ<1 if n≥2 are given. Finally, Rademacher p-type space is characterized by vector-valued sequence spaces.