Remarks on maximal operators over arbitrary sets of directions

Bulletin of the London Mathematical Society

Volumn 31, Issue 6, 1999, Pages 700-710

  Katz, Nets Hawk ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012995673     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609399005949     Document Type: Article

References (8)

1. MICHAEL CHRIST, JAVIER DUOANDIKOETXEA and JOSÉ L. RUBIO DE FRANCIA, 'Maximal operators related to the Radon transform and the Calderon Zygmund method of rotations', Duke Math J. 53 (1986) 189-209.
2. ANTONIO CORDOBA, 'The Kakeya maximal function and the spherical summation multipliers', Amer. J. Math. 99 (1977) 1-22.
3. GUY DAVID, Wavelets and singular integrals on curves and surfaces (Springer, Berlin, 1991).
4. JAVIER DUOANDIKOETXEA and ANA VARGAS, 'Directional operators and radial functions on the plane', Ark. Mat. 33 (1995) 281-291.
5. JAVIER DUOANDIKOETXEA ZUAZO, 'Análisis de Fourier', Ediciones de la Universidad Autonoma de Madrid, 1991.
6. NETS HAWK KATZ, 'A counterexample for maximal operators over Cantor sets of directions' Math. Res. Lett. 3 (1996) 527-536.
7. ANA VARGAS, 'A remark on a maximal function over a Cantor set of directions', Rend. Circ. Mat. Palermo 44 (1995) 273-282.
8. S. WAINGER, Applications of Fourier transform to averages over lower dimensional sets, Proc. Sympos. Pure Math. 35(1) (Amer. Math. Soc., Providence, RI, 1979) 85-94.