\(L^p\) bounds for a class of Marcinkiewicz integral operators
DOI10.1216/JIE-2019-31-2-165zbMath1440.42047OpenAlexW2976977326MaRDI QIDQ2329285
Publication date: 17 October 2019
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jiea/1569225672
Fourier transformarea integralMarcinkiewicz integralsrough kernelsflat curvesLittlewood-Paley \(g_{\lambda}^\ast\) functions
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Integral operators (47G10)
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Cites Work
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- \(L^p\) bounds for Marcinkiewicz integrals associated to homogeneous mappings
- Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods
- Boundedness of the Marcinkiewicz integrals with rough kernel associated to surfaces
- Maximal and singular integral operators via Fourier transform estimates
- Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
- Hilbert integrals, singular integrals, and Radon transforms. I
- Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds
- On the \(L^ p\) boundedness of Marcinkiewicz integrals.
- Maximal functions and singular integrals associated to polynomial mappings of \(\mathbb R^ n\).
- Integral operators of Marcinkiewicz type
- Rough oscillatory singular integral operators of nonconvolution type
- \(L^p\) bounds for the function of Marcinkiewicz.
- Marcinkiewicz functions along flat surfaces with Hardy space kernels
- Rough Marcinkiewicz integrals related to surfaces of revolution
- A Note on a Marcinkiewicz Integral Operator
- Singular Integrals with Rough Kernels in L log L (S n −1 )
- CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
- On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
- Singular kernels supported by homogeneous submanifolds.
- Extensions of Hardy spaces and their use in analysis
- Problems in harmonic analysis related to curvature
- Singular integral operators with rough kernels supported by subvarieties
- Singular Integrals and Maximal Functions Associated to Surfaces of Revolution
- On the function of Marcinkiewicz
- \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels
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