Kakeya-type sets over Cantor sets of directions in \(\mathbb {R}^{d+1}\)

DOI10.1007/s00041-015-9426-xzbMath1355.42016arXiv1404.6235OpenAlexW2594350661MaRDI QIDQ301581

Malabika Pramanik, Edward Kroc

Publication date: 30 June 2016

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

Full work available at URL: https://arxiv.org/abs/1404.6235

zbMATH Keywords

Cantor setKakeya setdirectional maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Length, area, volume, other geometric measure theory (28A75)

Related Items

(Un)boundedness of directional maximal operators through a notion of “Perron capacity” and an application, Kakeya-type sets over Cantor sets of directions in \(\mathbb {R}^{d+1}\)

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