Complex symmetric weighted composition-differentiation operators on weighted Hardy spaces

Ching On Lo; Anthony Wai Keung Loh

doi:10.1016/j.bulsci.2025.103735

Complex symmetric weighted composition-differentiation operators on weighted Hardy spaces

Division of Science, Engineering and Health Studies (SEHS)

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Abstract

Complex symmetric weighted composition-differentiation operators on the weighted Hardy spaces H²(β) with respect to the standard conjugation are investigated. Our results partially answer a question from a paper of Lim and Khoi (2018) [12] and subsume several existing ones in the literature. We also study the classes of self-adjoint, normal, co-isometric and unitary weighted composition-differentiation operators on H²(β) as well as their relations with the property of complex symmetry.

Original language	English
Article number	103735
Journal	Bulletin des Sciences Mathematiques
Volume	206
DOIs	https://doi.org/10.1016/j.bulsci.2025.103735
Publication status	Published - Jan 2026

Keywords

Complex symmetric
Normal
Self-adjoint
Unitary
Weighted Hardy spaces
Weighted composition-differentiation operators

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10.1016/j.bulsci.2025.103735

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title = "Complex symmetric weighted composition-differentiation operators on weighted Hardy spaces",

abstract = "Complex symmetric weighted composition-differentiation operators on the weighted Hardy spaces H2(β) with respect to the standard conjugation are investigated. Our results partially answer a question from a paper of Lim and Khoi (2018) [12] and subsume several existing ones in the literature. We also study the classes of self-adjoint, normal, co-isometric and unitary weighted composition-differentiation operators on H2(β) as well as their relations with the property of complex symmetry.",

keywords = "Complex symmetric, Normal, Self-adjoint, Unitary, Weighted Hardy spaces, Weighted composition-differentiation operators",

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AB - Complex symmetric weighted composition-differentiation operators on the weighted Hardy spaces H2(β) with respect to the standard conjugation are investigated. Our results partially answer a question from a paper of Lim and Khoi (2018) [12] and subsume several existing ones in the literature. We also study the classes of self-adjoint, normal, co-isometric and unitary weighted composition-differentiation operators on H2(β) as well as their relations with the property of complex symmetry.

KW - Complex symmetric

KW - Normal

KW - Self-adjoint

KW - Unitary

KW - Weighted Hardy spaces

KW - Weighted composition-differentiation operators

UR - https://www.scopus.com/pages/publications/105015867061

U2 - 10.1016/j.bulsci.2025.103735

DO - 10.1016/j.bulsci.2025.103735

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SN - 0007-4497

VL - 206

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

M1 - 103735

ER -

Complex symmetric weighted composition-differentiation operators on weighted Hardy spaces

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Keywords

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