STRONG TYPE INEQUALITIES AND AN ALMOST-ORTHOGONALITY PRINCIPLE FOR FAMILIES OF MAXIMAL OPERATORS ALONG DIRECTIONS IN ${\bb R}^2$
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Publication:4467580
DOI10.1112/S0024610702003915zbMath1057.42018OpenAlexW2169387476MaRDI QIDQ4467580
Publication date: 10 June 2004
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0024610702003915
Related Items (11)
Kakeya-type sets over Cantor sets of directions in \(\mathbb {R}^{d+1}\) ⋮ On unboundedness of maximal operators for directional Hilbert transforms ⋮ \(L^2\) bounds for a maximal directional Hilbert transform ⋮ Application of Perron trees to geometric maximal operators ⋮ Kakeya-type sets for geometric maximal operators ⋮ Weighted estimates for conic Fourier multipliers ⋮ On a conjecture of E. M. Stein on the Hilbert transform on vector fields ⋮ Differentiation of integrals in higher dimensions ⋮ Kakeya sets and directional maximal operators in the plane ⋮ Almost-orthogonality principles for certain directional maximal functions ⋮ Maximal directional operators along algebraic varieties
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