DIRECTIONAL MAXIMAL OPERATORS AND RADIAL WEIGHTS ON THE PLANE

DOI10.1017/S0004972713000804zbMath1293.42024OpenAlexW2072502103MaRDI QIDQ5419383

Hitoshi Tanaka, Hiroki Saito

Publication date: 6 June 2014

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

Full work available at URL: https://doi.org/10.1017/s0004972713000804

zbMATH Keywords

directional maximal operatorradial weightalmost-orthogonality principlestrong-type estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

• On Kakeya's maximal function
• Maximal functions associated to rectangles with uniformly distributed directions
• An elementary proof of an estimate for the Kakeya maximal operator on functions of product type
• A remark on maximal operators along directions in \(\mathbb R^2\)
• An estimate for the Kakeya maximal operator on functions of square radial type
• Maximal operators over arbitrary sets of directions
• Covering lemmas revisited
• The Kakeya Maximal Function and the Spherical Summation Multipliers
• Remarks on Maximal Operators Over Arbitrary Sets of Directions
• The Universal maximal operator on special classes of functions

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