Note on a new class of operators between some spaces of holomorphic functions

Stevo Stević; Stevo Stević

doi:10.3934/math.2023207

AIMS Mathematics

2023, Volume 8, Issue 2: 4153-4167. doi: 10.3934/math.2023207

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Research article

Note on a new class of operators between some spaces of holomorphic functions

Stevo Stević ^{1,2
,
,}

1.
Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/Ⅲ, Beograd 11000, Serbia
2.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

Received: 10 August 2022 Revised: 02 October 2022 Accepted: 09 October 2022 Published: 02 December 2022
MSC : 47B33, 47B38

The boundedness and compactness of a new class of linear operators from the weighted Bergman space to the weighted-type spaces on the unit ball are characterized.
- bounded operator,
- compact operator,
- product operator,
- holomorphic functions,
- unit ball
Citation: Stevo Stević. Note on a new class of operators between some spaces of holomorphic functions[J]. AIMS Mathematics, 2023, 8(2): 4153-4167. doi: 10.3934/math.2023207

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Abstract

The boundedness and compactness of a new class of linear operators from the weighted Bergman space to the weighted-type spaces on the unit ball are characterized.

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