Marcinkiewicz integrals with rough homogeneous kernels of degree zero in product domains

DOI10.1006/jmaa.2001.7465zbMath0993.42009OpenAlexW2059838088MaRDI QIDQ5946929

Youngwoo Choi

Publication date: 20 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7465

zbMATH Keywords

Orlicz space\(L^2\) boundednessMarcinkiewicz integralproduct domain

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (13)

MAXIMAL FUNCTIONS ALONG TWISTED SURFACES ON PRODUCT DOMAINS ⋮ Maximal functions along surfaces on product domains ⋮ Parabolic Marcinkiewicz integrals on product spaces and extrapolation ⋮ Boundedness of Marcinkiewicz integrals and their commutators in \(H^{1} (\mathbb R^{n} \times \mathbb R^{m})\) ⋮ Rough Marcinkiewicz integrals with mixed homogeneity on product spaces ⋮ Multiple parametric Marcinkiewicz integrals with mixed homogeneity along surfaces ⋮ A note on the generalized Marcinkiewicz integral operators with rough kernels ⋮ Unnamed Item ⋮ A rough multiple Marcinkiewicz integral along continuous surfaces ⋮ Rough Marcinkiewicz integrals along certain smooth curves ⋮ On the \(L^2\) boundedness for the multiple Littlewood-Paley functions with rough kernels ⋮ Parabolic Marcinkiewicz integrals along surfaces on product domains ⋮ Marcinkiewicz integral operators along twisted surfaces

Cites Work

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• A note on the Marcinkiewicz integral
• Weighted boundedness for a class of rough Marcinkiewicz integrals
• On the function of Marcinkiewicz
• On a Theorem of Marcinkiewicz and Zygmund
• On Certain Integrals

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