Commutators of Cauchy–Fantappiè type integrals on generalized Morrey spaces on complex ellipsoids

Nguyen Anh Dao; Xuan Thinh Duong; Ly Kim Ha

doi:10.1007/s12220-020-00561-5

Commutators of Cauchy–Fantappiè type integrals on generalized Morrey spaces on complex ellipsoids

Nguyen Anh Dao, Xuan Thinh Duong^*, Ly Kim Ha

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

Let Ω be a domain which belongs to a class of bounded weakly pseudoconvex domains of finite type in Cⁿ, let dλ be the Monge–Ampère boundary measure on bΩ and ϱ≥ 0 be a non-decreasing function. The aim of this paper is to establish the characterizations of boundedness and compactness for the commutator operators of Cauchy–Fantappiè type integrals with L¹(bΩ , dλ) functions on the generalized Morrey spaces Lϱp(bΩ,dλ), with p∈ (1 , ∞).

Original language	English
Pages (from-to)	7538-7567
Number of pages	30
Journal	Journal of Geometric Analysis
Volume	31
Issue number	7
Early online date	9 Feb 2021
DOIs	https://doi.org/10.1007/s12220-020-00561-5
Publication status	Published - Jul 2021

Keywords

BMO
VMO
Commutators
Singular integral operators
Convex domains of finite type

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10.1007/s12220-020-00561-5

Cite this

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title = "Commutators of Cauchy–Fantappi{\`e} type integrals on generalized Morrey spaces on complex ellipsoids",

abstract = "Let Ω be a domain which belongs to a class of bounded weakly pseudoconvex domains of finite type in Cn, let dλ be the Monge–Amp{\`e}re boundary measure on bΩ and ϱ≥ 0 be a non-decreasing function. The aim of this paper is to establish the characterizations of boundedness and compactness for the commutator operators of Cauchy–Fantappi{\`e} type integrals with L1(bΩ , dλ) functions on the generalized Morrey spaces Lϱp(bΩ,dλ), with p∈ (1 , ∞).",

keywords = "BMO, VMO, Commutators, Singular integral operators, Convex domains of finite type",

author = "Dao, {Nguyen Anh} and Duong, {Xuan Thinh} and Ha, {Ly Kim}",

year = "2021",

month = jul,

doi = "10.1007/s12220-020-00561-5",

language = "English",

volume = "31",

pages = "7538--7567",

journal = "Journal of Geometric Analysis",

issn = "1050-6926",

publisher = "American Mathematical Society",

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TY - JOUR

T1 - Commutators of Cauchy–Fantappiè type integrals on generalized Morrey spaces on complex ellipsoids

AU - Dao, Nguyen Anh

AU - Duong, Xuan Thinh

AU - Ha, Ly Kim

PY - 2021/7

Y1 - 2021/7

N2 - Let Ω be a domain which belongs to a class of bounded weakly pseudoconvex domains of finite type in Cn, let dλ be the Monge–Ampère boundary measure on bΩ and ϱ≥ 0 be a non-decreasing function. The aim of this paper is to establish the characterizations of boundedness and compactness for the commutator operators of Cauchy–Fantappiè type integrals with L1(bΩ , dλ) functions on the generalized Morrey spaces Lϱp(bΩ,dλ), with p∈ (1 , ∞).

AB - Let Ω be a domain which belongs to a class of bounded weakly pseudoconvex domains of finite type in Cn, let dλ be the Monge–Ampère boundary measure on bΩ and ϱ≥ 0 be a non-decreasing function. The aim of this paper is to establish the characterizations of boundedness and compactness for the commutator operators of Cauchy–Fantappiè type integrals with L1(bΩ , dλ) functions on the generalized Morrey spaces Lϱp(bΩ,dλ), with p∈ (1 , ∞).

KW - BMO

KW - VMO

KW - Commutators

KW - Singular integral operators

KW - Convex domains of finite type

UR - http://www.scopus.com/inward/record.url?scp=85099390764&partnerID=8YFLogxK

UR - http://purl.org/au-research/grants/arc/DP190100970

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DO - 10.1007/s12220-020-00561-5

M3 - Article

AN - SCOPUS:85099390764

SN - 1050-6926

VL - 31

SP - 7538

EP - 7567

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 7

ER -

Commutators of Cauchy–Fantappiè type integrals on generalized Morrey spaces on complex ellipsoids

Abstract

Keywords

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Harmonic analysis: function spaces and partial differential equations

Cite this

Commutators of Cauchy–Fantappiè type integrals on generalized Morrey spaces on complex ellipsoids

Abstract

Keywords

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Harmonic analysis: function spaces and partial differential equations

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