Products of Composition and Differentiation between the Fractional Cauchy Spaces and the Bloch-Type Spaces

[摘要] The operators and are defined by and where is an analytic self-map of the unit disc and is analytic in the disc. A characterization is provided for boundedness and compactness of the products of composition and differentiation from the spaces of fractional Cauchy transforms to the Bloch-type spaces , where and . In the case , the operator is compact is bounded and . For , is compact is bounded and .

[学科分类] 护理学