Zygmund-Type Spaces on the Unit Ball
نویسنده
چکیده
Let H B denote the space of all holomorphic functions on the unit ball B ⊂ C. This paper investigates the following integral-type operator with symbol g ∈ H B , Tgf z ∫1 0 f tz Rg tz dt/t, f ∈ H B , z ∈ B, whereRg z ∑n j 1 zj∂g/∂zj z is the radial derivative of g. We characterize the boundedness and compactness of the integral-type operators Tg from general function spaces F p, q, s to Zygmund-type spaces Zμ, where μ is normal function on 0, 1 .
منابع مشابه
Products of Radial Derivative and Multiplication Operator between Mixed Norm Spaces and Zygmund–type Spaces on the Unit Ball
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