A boundedness result for Marcinkiewicz integral operator

DOI10.1515/MATH-2020-0046zbMath1478.42011OpenAlexW3068464345MaRDI QIDQ2053418

Laith Hawawsheh, Mohammad Abudayah

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0046

zbMATH Keywords

Marcinkiewicz integral operator\(L_p\)-bounded integral operatormaximal integral operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Integral operators (47G10)

Cites Work

• Necessary and sufficient condition for a VMO function
• \(L^p\) bounds for the function of Marcinkiewicz.
• \(L^p\) estimates for maximal functions along surfaces of revolution on product spaces
• \(L^p\) estimates of certain rough parametric Marcinkiewicz functions
• A class of integral operators and generalized Bessel Plancherel transform on \(L_{\alpha,n}^{2}\)
• Marcinkiewicz functions along flat surfaces with Hardy space kernels
• Singular integrals
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A problem on rough parametric Marcinkiewicz functions
• On the function of Marcinkiewicz
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