首页|PRODUCT TYPE OPERATORS ACTING BETWEEN WEIGHTED BERGMAN SPACES AND BLOCH TYPE SPACES
PRODUCT TYPE OPERATORS ACTING BETWEEN WEIGHTED BERGMAN SPACES AND BLOCH TYPE SPACES
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For analytic functions u,ψ in the unit disk D in the complex plane and an analytic self-map φ of D,we describe in this paper the boundedness and compactness of product type operators Tu,ψ,φf(z)=u(z)f(φ(z)+ψ(z)f'(φ(z)),z ∈ D,acting between weighted Bergman spaces induced by a doubling weight and a Bloch type space with a radial weight.
compactnessboundednessBloch type spaceproduct type operatorweighted Bergman space
刘佐灵、乌兰哈斯
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Department of Mathematics,Shantou University,Shantou 515063,China