Norm Estimates for Hilbert-Type Operators on Logarithmic Lebesgue Spaces of the Positive Half-Line

Jean Marcel Tanoh Dje; Benoit Florent Sehba; Vincent Tetteh Teyekpiti

doi:10.1007/s00025-025-02356-y

Norm Estimates for Hilbert-Type Operators on Logarithmic Lebesgue Spaces of the Positive Half-Line

Jean Marcel Tanoh Dje
, Benoit Florent Sehba
, Vincent Tetteh Teyekpiti

Department of Mathematics

Université Virtuelle de Côte d’Ivoire
University of Ghana

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove a two side estimates of the norm of some Hilbert-type operators on logarithmic Lebesgue spaces of the positive half-line. This extends some already known results for these operators for usual Lebesgue spaces.

Original language	English
Article number	36
Journal	Results in Mathematics
Volume	80
Issue number	1
DOIs	https://doi.org/10.1007/s00025-025-02356-y
Publication status	Published - Feb 2025

Keywords

Bergman projection
Bergman space
Hilbert operator
weight

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10.1007/s00025-025-02356-y

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title = "Norm Estimates for Hilbert-Type Operators on Logarithmic Lebesgue Spaces of the Positive Half-Line",

abstract = "In this paper, we prove a two side estimates of the norm of some Hilbert-type operators on logarithmic Lebesgue spaces of the positive half-line. This extends some already known results for these operators for usual Lebesgue spaces.",

keywords = "Bergman projection, Bergman space, Hilbert operator, weight",

author = "Dje, \{Jean Marcel Tanoh\} and Sehba, \{Benoit Florent\} and Teyekpiti, \{Vincent Tetteh\}",

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AU - Teyekpiti, Vincent Tetteh

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AB - In this paper, we prove a two side estimates of the norm of some Hilbert-type operators on logarithmic Lebesgue spaces of the positive half-line. This extends some already known results for these operators for usual Lebesgue spaces.

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KW - Bergman space

KW - Hilbert operator

KW - weight

UR - https://www.scopus.com/pages/publications/85217474746

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DO - 10.1007/s00025-025-02356-y

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JO - Results in Mathematics

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Norm Estimates for Hilbert-Type Operators on Logarithmic Lebesgue Spaces of the Positive Half-Line

Abstract

Keywords

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