Remarks on Maximal Operators Over Arbitrary Sets of Directions

DOI10.1112/S0024609399005949zbMath1033.42012OpenAlexW2034931530MaRDI QIDQ4487626

Nets Hawk Katz

Publication date: 22 June 2000

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609399005949

zbMATH Keywords

boundmaximal functionsparaproductsKakeya maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38)

Related Items (10)

On unboundedness of maximal operators for directional Hilbert transforms ⋮ Square functions for bi-Lipschitz maps and directional operators ⋮ Logarithmic \(L^p\) bounds for maximal directional singular integrals in the plane ⋮ DIRECTIONAL MAXIMAL OPERATORS AND RADIAL WEIGHTS ON THE PLANE ⋮ Singular integrals along 𝑁 directions in ℝ² ⋮ Kakeya sets and directional maximal operators in the plane ⋮ On logarithmic bounds of maximal sparse operators ⋮ Maximal averages along a planar vector field depending on one variable ⋮ Maximal subspace averages ⋮ Maximal directional operators along algebraic varieties

This page was built for publication: Remarks on Maximal Operators Over Arbitrary Sets of Directions