Analytic functions, defined by the property of being locally expressible as convergent power series, form a cornerstone of complex analysis. Differential operators, which act on these functions by ...

The study of Hilbert and Hankel operators on analytic function spaces has emerged as a vibrant research field, uniting aspects of harmonic analysis, operator theory and complex analysis. These ...

Let E be a Banach function space on a probability measure space (Ω,Σ,μ). Let X be a Banach space and E(X) be the associated Köthe-Bochner space. An operator on E(X) is called a multiplication operator ...

Taiwanese Journal of Mathematics, Vol. 24, No. 1 (February 2020), pp. 97-117 (21 pages) In this paper, our main interest is devoted to study the extension operator Φn,α,β: ℒS → ℒSn given by ...