## Abstract

Let H (D) be the space of analytic functions on the unit disc D . Let ϕ be an analytic self-map of D and ψ1, ψ2 ∈ H (D) . Let C_{ϕ} , M_{ψ} and D denote the composition, multiplication and differentiation operators, respectively. In order to treat the products of these operators in a unified manner, Stević et al. introduced the following operator T_{ψ}1 ,ψ2 ,_{ϕ} f = ψ1 · f ◦ ϕ + ψ2 · f ◦ ϕ, f ∈ H (D). We characterize the boundedness and compactness of the operators T_{ψ}1 ,ψ2 ,_{ϕ} from weighted Bergman spaces to weighted-type and little weighted-type spaces of analytic functions. Also, we give examples of bounded, unbounded, compact and non compact operators T_{ψ}1 ,ψ2 ,ϕ .

Original language | English |
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Pages (from-to) | 1051-1077 |

Number of pages | 27 |

Journal | Mathematical Inequalities and Applications |

Volume | 23 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2020 |

Externally published | Yes |

## Keywords

- Composition operators
- Differentiation operators
- Multiplication operators
- Weighted Bergman spaces
- Weighted composition operators
- Weighted-type spaces of analytic functions

## ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics