On a New Integral-Type Operator from the Weighted Bergman Space to the Bloch-Type Space on the Unit Ball
نویسندگان
چکیده
We introduce an integral-type operator, denoted by P φ , on the space of holomorphic functions on the unit ball B ⊂ C, which is an extension of the product of composition and integral operators on the unit disk. The operator norm of P φ from the weighted Bergman space A p α B to the Bloch-type space Bμ B or the little Bloch-type space Bμ,0 B is calculated. The compactness of the operator is characterized in terms of inducing functions g and φ. Upper and lower bounds for the essential norm of the operator P φ : A p α B → Bμ B , when p > 1, are also given.
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