Local Besov spaces and commutator of the Cauchy–Szegő projection on a strictly pseodoconvex domain with smooth boundary

Steven G. Krantz; Ji Li; Chong-Wei Liang; Chun-Yen Shen

doi:10.1007/s13324-026-01162-1

Local Besov spaces and commutator of the Cauchy–Szegő projection on a strictly pseodoconvex domain with smooth boundary

Steven G. Krantz, Ji Li, Chong-Wei Liang, Chun-Yen Shen

School of Mathematical and Physical Sciences

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

1 Citation (Scopus)

Abstract

In this paper, we revisit the boundedness and compactness of the commutator of the Cauchy–Szegő projection on a bounded strictly pseudoconvex domain Ω with smooth boundary ∂Ω, and establish the Schatten class estimate of such commutator via studying the structures of the local Besov space and establishing Taylor’s expansion on ∂Ω.

Original language	English
Article number	14
Pages (from-to)	1-39
Number of pages	39
Journal	Analysis and Mathematical Physics
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/s13324-026-01162-1
Publication status	Published - Feb 2026

Keywords

Schatten Class
Commutator
Cauchy–Szegő Projection
Strictly Pseudoconvex Domain

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10.1007/s13324-026-01162-1

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title = "Local Besov spaces and commutator of the Cauchy–Szeg{\H o} projection on a strictly pseodoconvex domain with smooth boundary",

abstract = "In this paper, we revisit the boundedness and compactness of the commutator of the Cauchy–Szeg{\H o} projection on a bounded strictly pseudoconvex domain Ω with smooth boundary ∂Ω, and establish the Schatten class estimate of such commutator via studying the structures of the local Besov space and establishing Taylor{\textquoteright}s expansion on ∂Ω.",

keywords = "Schatten Class, Commutator, Cauchy–Szeg{\H o} Projection, Strictly Pseudoconvex Domain",

author = "Krantz, \{Steven G.\} and Ji Li and Chong-Wei Liang and Chun-Yen Shen",

year = "2026",

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doi = "10.1007/s13324-026-01162-1",

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T1 - Local Besov spaces and commutator of the Cauchy–Szegő projection on a strictly pseodoconvex domain with smooth boundary

AU - Krantz, Steven G.

AU - Li, Ji

AU - Liang, Chong-Wei

AU - Shen, Chun-Yen

PY - 2026/2

Y1 - 2026/2

N2 - In this paper, we revisit the boundedness and compactness of the commutator of the Cauchy–Szegő projection on a bounded strictly pseudoconvex domain Ω with smooth boundary ∂Ω, and establish the Schatten class estimate of such commutator via studying the structures of the local Besov space and establishing Taylor’s expansion on ∂Ω.

AB - In this paper, we revisit the boundedness and compactness of the commutator of the Cauchy–Szegő projection on a bounded strictly pseudoconvex domain Ω with smooth boundary ∂Ω, and establish the Schatten class estimate of such commutator via studying the structures of the local Besov space and establishing Taylor’s expansion on ∂Ω.

KW - Schatten Class

KW - Commutator

KW - Cauchy–Szegő Projection

KW - Strictly Pseudoconvex Domain

UR - http://purl.org/au-research/grants/arc/DP220100285

UR - https://www.scopus.com/pages/publications/105027399848

U2 - 10.1007/s13324-026-01162-1

DO - 10.1007/s13324-026-01162-1

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SN - 1664-2368

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JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

IS - 1

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ER -

Local Besov spaces and commutator of the Cauchy–Szegő projection on a strictly pseodoconvex domain with smooth boundary

Abstract

Keywords

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DP22: Harmonic analysis of Laplacians in curved spaces

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Local Besov spaces and commutator of the Cauchy–Szegő projection on a strictly pseodoconvex domain with smooth boundary

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

DP22: Harmonic analysis of Laplacians in curved spaces

Cite this