A class of maximal functions with oscillating kernels
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Publication:2477795
DOI10.1007/s10114-007-0936-6zbMath1131.42011OpenAlexW2137674537WikidataQ126265663 ScholiaQ126265663MaRDI QIDQ2477795
Publication date: 14 March 2008
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-007-0936-6
maximal functionspower weightsMorrey spacesoscillatory singular integralsparametric Marcinkiewicz integral operatorsweighted \(L^p\) bounds
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)
Cites Work
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- Estimates for translation invariant operators in \(L^p\) spaces
- Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
- Criterion on \(L^ p\)-boundedness for a class of oscillatory singular integrals with rough kernels
- A weighted norm inequality for rough singular integrals
- Weighted \(L^ p\)-boundedness for higher order commutators of oscillatory singular integrals
- Rough oscillatory singular integral operators of nonconvolution type
- On maximal functions with rough kernels in \(L(\log L)^{1/2} (\mathbb S^{n-1})\)
- A maximal operator related to a class of singular integrals
- Weighted \(L^p\) boundedness of Marcinkiewicz integral
- Construction and analysis of some convolution algebras
- A Note on a Marcinkiewicz Integral Operator
- Lp estimates for singular integrals associated to homogeneous surfaces
- Singular Integrals with Rough Kernels in L log L (S n −1 )
- Interpolation of Operators with Change of Measures
- On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
- Weighted Norm Inequalities for Homogeneous Singular Integrals
- A problem on rough parametric Marcinkiewicz functions
- Boundedness of certain oscillatory singular integrals
- L2 estimates for convolution operators with oscillating kernels
- Weighted Norm Inequalities for Singular and Fractional Integrals