## Abstract

Let H((Formula presented)) be the space of analytic functions on the unit disc (Formula presented). Let (Formula presented) and $ $ be such that (Formula presented) The linear differential operator is defined by (Formula presented) We characterize the boundedness and compactness of the difference operator (Formula presented) between weighted-type spaces of analytic functions. As applications, we obtained boundedness and compactness of the difference of multiplication operators between weighted-type and Bloch-type spaces. Also, we give examples of unbounded (non compact) differential operators such that their difference is bounded (compact).

Original language | English |
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Pages (from-to) | 465-483 |

Number of pages | 19 |

Journal | Communications of the Korean Mathematical Society |

Volume | 36 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2021 |

Externally published | Yes |

## Keywords

- Bloch-type spaces
- bounded and compact operators
- Difference operators
- differential operators
- multiplication operators
- weighted-type spaces

## ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics