Composition-Differentiation Operator on the Bergman Space

Aloo, K. O.; Bonyo, J. O.; Okello, I.

doi:10.28919/cpr-pajm/2-18

Research article

Composition-Differentiation Operator on the Bergman Space

K. O. Aloo, J. O. Bonyo, I. Okello

Abstract

We investigate the properties of composition-differentiation operator D_ψ on the Bergman space of the unit disk L²_a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we determine the adjoint properties of D_ψ whenever ψ is self analytic map of the unit disk D.

How to cite

K. O. Aloo, J. O. Bonyo, I. Okello, Composition-Differentiation Operator on the Bergman Space, Pan-Amer. J. Math. 2 (2023), 18. https://doi.org/10.28919/cpr-pajm/2-18

BibTeX

@article{Aloo2023,
  author  = {Aloo, K. O. and Bonyo, J. O. and Okello, I.},
  title   = {Composition-Differentiation Operator on the Bergman Space},
  journal = {Pan-Amer. J. Math.},
  volume  = {2},
  year    = {2023},
  pages   = {18},
  doi     = {10.28919/cpr-pajm/2-18}
}