A weak L2 estimate for a maximal dyadic sum operator on ℝn

Illinois Journal of Mathematics

Volumn 47, Issue 3, 2003, Pages 775-813

  Pramanik, Malabika ^a   Terwilleger, Erin ^b,c  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^c UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346331483     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1258138194     Document Type: Article

References (7)

1. L. Carleson, On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135-157.
2. C. Fefferman, Pointwise convergence of Fourier series, Ann. of Math. 98 (1973), 551-571.
3. p estimates on the bilinear Hilbert transform for 2 < p < ∞, Ann. of Math. 146 (1997), 693-724.
4. _, On Calderón's conjecture, Ann. of Math 149 (1999), 475-496.
5. _, A proof of boundedness of the Carleson operator, Math. Res. Lett. 7 (2000), 361-370.
6. P. Sjölin, Convergence almost everywhere of certain singular integrals and multiple Fourier series, Ark. Mat. 9 (1971), 65-90.
7. E.M. Stein, Harmonic analysis: real variable methods, orthogonality, and oscillatory integrals, Princeton University Press, Princeton, NJ, 1993.