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A remark on a maximal function over a Cantor set of directions

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Publication:1897634
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DOI10.1007/BF02850835zbMath0832.42011OpenAlexW2071823445MaRDI QIDQ1897634

Ana M. Vargas

Publication date: 5 March 1996

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02850835


zbMATH Keywords

maximal functionCantor's ternary setCantor set of directions


Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)


Related Items (3)

Kakeya-type sets over Cantor sets of directions in \(\mathbb {R}^{d+1}\) ⋮ On unboundedness of maximal operators for directional Hilbert transforms ⋮ Kakeya sets and directional maximal operators in the plane



Cites Work

  • Unnamed Item
  • The multiplier problem for the polygon
  • Maximal functions associated to rectangles with uniformly distributed directions
  • On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis
  • On differentiation of integrals
  • Differentiation in lacunary directions


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