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

1 Citation (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
Number of pages	30
Journal	Journal of Geometric Analysis
Early online date	9 Feb 2021
DOIs	https://doi.org/10.1007/s12220-020-00561-5
Publication status	E-pub ahead of print - 9 Feb 2021

Keywords

BMO
VMO
Commutators
· Singular integral operators
Convex domains of finite type

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10.1007/s12220-020-00561-5

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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 , ∞).",

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

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journal = "Journal of Geometric Analysis",

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AU - Dao, Nguyen Anh

AU - Duong, Xuan Thinh

AU - Ha, Ly Kim

PY - 2021/2/9

Y1 - 2021/2/9

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

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