Logarithmic Bloch spaces in the polydisc, endpoint results for Hankel operators and pointwise multipliers

Benoît F. Sehba

doi:10.1016/j.jmaa.2025.129244

Logarithmic Bloch spaces in the polydisc, endpoint results for Hankel operators and pointwise multipliers

Benoît F. Sehba

Department of Mathematics

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

Abstract

We define two notions of Logarithmic Bloch space in the polydisc for which we provide equivalent definitions in terms of symbols of bounded Hankel operators. We also provide a full characterization of the pointwise multipliers between two different Bloch spaces of the unit polydisc.

Original language	English
Article number	129244
Journal	Journal of Mathematical Analysis and Applications
Volume	546
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2025.129244
Publication status	Published - 1 Jun 2025

Keywords

Bergman space
Bloch space
Hankel operator
Multiplier algebra
Polydisc

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10.1016/j.jmaa.2025.129244

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title = "Logarithmic Bloch spaces in the polydisc, endpoint results for Hankel operators and pointwise multipliers",

abstract = "We define two notions of Logarithmic Bloch space in the polydisc for which we provide equivalent definitions in terms of symbols of bounded Hankel operators. We also provide a full characterization of the pointwise multipliers between two different Bloch spaces of the unit polydisc.",

keywords = "Bergman space, Bloch space, Hankel operator, Multiplier algebra, Polydisc",

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AU - Sehba, Benoît F.

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AB - We define two notions of Logarithmic Bloch space in the polydisc for which we provide equivalent definitions in terms of symbols of bounded Hankel operators. We also provide a full characterization of the pointwise multipliers between two different Bloch spaces of the unit polydisc.

KW - Bergman space

KW - Bloch space

KW - Hankel operator

KW - Multiplier algebra

KW - Polydisc

UR - https://www.scopus.com/pages/publications/85214893989

U2 - 10.1016/j.jmaa.2025.129244

DO - 10.1016/j.jmaa.2025.129244

M3 - Article

AN - SCOPUS:85214893989

SN - 0022-247X

VL - 546

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

M1 - 129244

ER -

Logarithmic Bloch spaces in the polydisc, endpoint results for Hankel operators and pointwise multipliers

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Keywords

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