Norm estimates for matrix operators between Banach spaces
In the present paper, the authors examine norm estimates of an operator represented by a matrix between Banach spaces and provide some lower bounds of the norms for operators acting between Banach sequence lattices. In particular, they obtain a general variant of Hardy-Littlewood's result. They study operators from abstract Hardy spaces to Banach sequence lattices, introduce the class of operators ``radially generated by a matrix'' and examine norm estimates for such operators. Also, they provide applications in the setting of Calderón-Lozanovskii spaces. The paper is written very carefully and nicely. The terms used in the paper are explained in detail.
scientific article; zbMATH DE number 6125844
scientific article