Norms of some operators between weighted-type spaces and weighted Lebesgue spaces

Stevo Stević; Stevo Stević

doi:10.3934/math.2023201

AIMS Mathematics

2023, Volume 8, Issue 2: 4022-4041. doi: 10.3934/math.2023201

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Research article

Norms of some operators between weighted-type spaces and weighted Lebesgue spaces

Stevo Stević ^{1,2
,
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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: 21 October 2022 Revised: 09 November 2022 Accepted: 14 November 2022 Published: 01 December 2022
MSC : Primary 47B38, 47A30

We calculate the norms of several concrete operators, mostly of some integral-type ones between weighted-type spaces of continuous functions on several domains. We also calculate the norm of an integral-type operator on some subspaces of the weighted Lebesgue spaces.
- operator norm,
- weighted-type space,
- integral-type operator,
- integral means,
- multiplication operator
Citation: Stevo Stević. Norms of some operators between weighted-type spaces and weighted Lebesgue spaces[J]. AIMS Mathematics, 2023, 8(2): 4022-4041. doi: 10.3934/math.2023201

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Abstract

We calculate the norms of several concrete operators, mostly of some integral-type ones between weighted-type spaces of continuous functions on several domains. We also calculate the norm of an integral-type operator on some subspaces of the weighted Lebesgue spaces.

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