Maximal functions associated with families of homogeneous curves: Lp bounds for P ≤ 2
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Publication:4961136
DOI10.1017/S0013091519000439zbMath1437.42011arXiv1906.05997WikidataQ125838557 ScholiaQ125838557MaRDI QIDQ4961136
Andreas Seeger, Shaoming Guo, Po-Lam Yung, Joris Roos
Publication date: 22 April 2020
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.05997
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Radon transform (44A12)
Related Items (5)
\(L^2\) bounds for a maximal directional Hilbert transform ⋮ A maximal function for families of Hilbert transforms Along homogeneous curves ⋮ A Cotlar type maximal function associated with Fourier multipliers ⋮ Lp$L^p$ bound for the Hilbert transform along variable non‐flat curves ⋮ Maximal functions associated to a family of flat curves in lacunary directions
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- ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS
- Pointwise convergence of spherical means
- On unboundedness of maximal operators for directional Hilbert transforms
- Maximal operators and Hilbert transforms along variable non‐flat homogeneous curves
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