Kakeya sets of curves

DOI10.1007/S00039-005-0540-9zbMath1117.43003arXivmath/0502102OpenAlexW3102988705MaRDI QIDQ817670

Laura Wisewell

Publication date: 17 March 2006

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502102

zbMATH Keywords

integral operatorsKakeya curvesNikodym maximal function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Integral operators (47G10)

Related Items (13)

Sharp \(L^p\) estimates for oscillatory integral operators of arbitrary signature ⋮ Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner-Riesz estimates with negative index for non-elliptic surfaces ⋮ Two versions of the Nikodym maximal function on the Heisenberg group ⋮ Square function estimates for the Bochner-Riesz means ⋮ On the multilinear restriction and Kakeya conjectures ⋮ Linear and bilinear estimates for oscillatory integral operators related to restriction to hypersurfaces ⋮ Improved local smoothing estimate for the wave equation in higher dimensions ⋮ Bounds on oscillatory integral operators based on multilinear estimates ⋮ Kakeya configurations in Lie groups and homogeneous spaces ⋮ Mixed-norm estimates for a class of nonisotropic directional maximal operators and Hilbert transforms ⋮ Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds ⋮ On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data ⋮ Sharp Local Smoothing Estimates for Fourier Integral Operators

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