Singular integrals, maximal functions and Fourier restriction to spheres: the disk multiplier revisited

DOI10.1016/j.aim.2015.11.039zbMath1343.42011OpenAlexW1806635336MaRDI QIDQ908061

Antonio Córdoba

Publication date: 2 February 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2015.11.039

zbMATH Keywords

singular integralsmaximal functionsFourier restriction theoremsdisk multiplier

Mathematics Subject Classification ID

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)

Related Items (18)

Sharp mixed norm spherical restriction ⋮ On the regularity set and angular integrability for the Navier-Stokes equation ⋮ Dual variational methods for a nonlinear Helmholtz system ⋮ On the mixed radial-angular integrability of Marcinkiewicz integrals with rough kernels ⋮ Radial multipliers and restriction to surfaces of the Fourier transform in mixed-norm spaces ⋮ Some recent progress on sharp Fourier restriction theory ⋮ Characterizations of the mixed radial-angular central Campanato space via the commutators of Hardy type ⋮ Weighted estimates for rough singular integrals with applications to angular integrability, II ⋮ Rough Singular Integral Operators along Submanifolds ⋮ ON THE MIXED RADIAL-ANGULAR INTEGRABILITY OF LITTLEWOOD-PALEY FUNCTIONS ⋮ Mixed radial-angular integrability for rough singular integrals and maximal operators ⋮ Weighted estimates for Marcinkiewicz integrals with applications to angular integrability ⋮ Singular integrals with angular integrability ⋮ Mixed radial-angular integrability for rough maximal operators ⋮ Weighted estimates for rough singular integrals with applications to angular integrability ⋮ A note on singular integrals with angular integrability ⋮ Weighted estimates for rough maximal functions with applications to angular integrability ⋮ Rough singular integrals and maximal operator with radial-angular integrability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On radial weights for the spherical summation operator
• The behaviour on radial functions of maximal operators along arbitrary directions and the Kakeya maximal operator
• The disc multiplier
• A note on Bochner-Riesz operators
• Radial weights and mixed norm inequalities for the disc multiplier
• The convergence of multidimensional Fourier-Bessel series
• Classes of singular integral operators along variable lines
• An improved bound for Kakeya type maximal functions
• The multiplier problem for the ball
• A note on spherical summation multipliers
• Band-Limited Functions: L p -Convergence
• Maximal functions associated to smooth curves
• A weighted norm inequality for singular integrals
• A characterization of a two-weight norm inequality for maximal operators
• Oscillatory integrals and multiplier problem for the disc
• Weighted Norm Inequalities for the Hardy Maximal Function
• A restriction theorem for the Fourier transform

This page was built for publication: Singular integrals, maximal functions and Fourier restriction to spheres: the disk multiplier revisited