Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces

Nguyen Anh Dao; Brett D. Wick

doi:10.1007/s11118-021-09960-x

Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces

Nguyen Anh Dao
, Brett D. Wick

Department of Mathematics

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

7 Scopus citations

Abstract

In this paper, we provide a constructive proof of H¹(ℝⁿ) factorization in terms of multilinear Calderón–Zygmund operators in Morrey spaces. As a direct application, we obtain a characterization of functions in BMO (ℝⁿ) via commutators of multilinear Calderón–Zygmund operators. Furthermore, we prove a Morrey compactness characterization of [b, T]_l, the commutator in the l-th entry.

Original language	English
Pages (from-to)	41-64
Number of pages	24
Journal	Potential Analysis
Volume	59
Issue number	1
DOIs	https://doi.org/10.1007/s11118-021-09960-x
State	Published - Jun 2023

Keywords

Block space
BMO space
Hardy space
Morrey space
multilinear operators of homogeneous type

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10.1007/s11118-021-09960-x

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abstract = "In this paper, we provide a constructive proof of H1(ℝn) factorization in terms of multilinear Calder{\'o}n–Zygmund operators in Morrey spaces. As a direct application, we obtain a characterization of functions in BMO (ℝn) via commutators of multilinear Calder{\'o}n–Zygmund operators. Furthermore, we prove a Morrey compactness characterization of [b, T]l, the commutator in the l-th entry.",

keywords = "Block space, BMO space, Hardy space, Morrey space, multilinear operators of homogeneous type",

author = "Dao, \{Nguyen Anh\} and Wick, \{Brett D.\}",

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doi = "10.1007/s11118-021-09960-x",

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T1 - Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces

AU - Dao, Nguyen Anh

AU - Wick, Brett D.

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Y1 - 2023/6

N2 - In this paper, we provide a constructive proof of H1(ℝn) factorization in terms of multilinear Calderón–Zygmund operators in Morrey spaces. As a direct application, we obtain a characterization of functions in BMO (ℝn) via commutators of multilinear Calderón–Zygmund operators. Furthermore, we prove a Morrey compactness characterization of [b, T]l, the commutator in the l-th entry.

AB - In this paper, we provide a constructive proof of H1(ℝn) factorization in terms of multilinear Calderón–Zygmund operators in Morrey spaces. As a direct application, we obtain a characterization of functions in BMO (ℝn) via commutators of multilinear Calderón–Zygmund operators. Furthermore, we prove a Morrey compactness characterization of [b, T]l, the commutator in the l-th entry.

KW - Block space

KW - BMO space

KW - Hardy space

KW - Morrey space

KW - multilinear operators of homogeneous type

UR - https://www.scopus.com/pages/publications/85117451018

U2 - 10.1007/s11118-021-09960-x

DO - 10.1007/s11118-021-09960-x

M3 - Article

AN - SCOPUS:85117451018

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VL - 59

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EP - 64

JO - Potential Analysis

JF - Potential Analysis

IS - 1

ER -

Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces

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Keywords

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