Applications of generalized Perron trees to maximal functions and density bases

DOI10.1007/BF02475990zbMath0911.42010MaRDI QIDQ1271487

Jan-Olav Rönning, Kathryn E. Hare

Publication date: 27 April 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59561

zbMATH Keywords

lacunary sequencesdensity basesgeneralized Perron treesHardy-Littlewood type maximal functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Nontrigonometric harmonic analysis (42C99)

Related Items (6)

(Un)boundedness of directional maximal operators through a notion of “Perron capacity” and an application ⋮ Application of Perron trees to geometric maximal operators ⋮ Kakeya-type sets for geometric maximal operators ⋮ Almost everywhere convergence for Lebesgue differentiation processes along rectangles ⋮ Perron’s capacity of random sets ⋮ Kakeya sets and directional maximal operators in the plane

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