The vector-valued Dirichlet-type spaces on the unit ball of C^n isintroduced. We discuss the pointwise multipliers of Dirichlet-type spaces. Sufficient conditions ofthe pointwise multipliers of D_(mu)~2 for 0<=mu &...The vector-valued Dirichlet-type spaces on the unit ball of C^n isintroduced. We discuss the pointwise multipliers of Dirichlet-type spaces. Sufficient conditions ofthe pointwise multipliers of D_(mu)~2 for 0<=mu <2 if n=1 or D_(mu,q)~2 for 0 =2 aregiven. Finally, Rademacher p-type space is characterized by vector-valued sequence spaces.展开更多
文摘The vector-valued Dirichlet-type spaces on the unit ball of C^n isintroduced. We discuss the pointwise multipliers of Dirichlet-type spaces. Sufficient conditions ofthe pointwise multipliers of D_(mu)~2 for 0<=mu <2 if n=1 or D_(mu,q)~2 for 0 =2 aregiven. Finally, Rademacher p-type space is characterized by vector-valued sequence spaces.