Hardy factorization in terms of multilinear fractional operator

DOI10.1134/S0001434623110366OpenAlexW4392750631MaRDI QIDQ6154101

Rongxiang Zhu, Suting Zheng, Dinghuai Wang

Publication date: 19 March 2024

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623110366

zbMATH Keywords

Hardy spaceLipschitz spaceboundednessfactorizationfractional integral operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Hardy spaces (30H10)

Cites Work

• The factorization of \(H^p\) on the space of homogeneous type
• Factorization theorems for Hardy spaces in several variables
• Weak factorization of the Hardy space \(H^p\) for small values of \(p\), in the multilinear setting
• \(H^p\) spaces of several variables
• Weak factorizations of the Hardy space in terms of multilinear fractional integral operator
• A characterization of $H^{p}(R^{n})$ in terms of atoms
• A real variable characterization of $H^{p}$
• Weak Factorizations of the Hardy Space H¹(ℝⁿ) in Terms of Multilinear Riesz Transforms
• The factorization of \(H^\rho (\mathbb{R}^n)\) via multilinear Calderón-Zygmund operators on weighted Lebesgue spaces

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