A counterexample for maximal operators over a cantor set of directions

Mathematical Research Letters

Volumn 3, Issue 4, 1996, Pages 527-536

  Katz, Nets Hawk ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030305157     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1996.v3.n4.a10     Document Type: Article

References (5)

1. [C] A. Cordoba, The Kakeya maximal function and the spherical summation multipliers, Amer. J. Math. 99 (1977), 1-22.
2. [DV] J. Duoandikoetxea and A. Vargas, Directional operators and radial functions on the plane., Ark. Mat. 33 (1995), 281-291.
3. [K] N. Katz, Remarks on maximal operators over arbitrary sets of directions, Preprint.
4. [NSW] A. Nagel, E. Stein, and S. Wainger, Differentiation in lacunary directions, Proc. Nat. Acad. Sci. U.S.A. 75 (1978), 1060-1062.
5. [V] A. Vargas, A remark on a maximal function over a Cantor set of directions, Rend. Circ. Mat. Palermo 44 (1995), 273-282.