LP and weak L1 estimates for the maximal Riesz transform and the maximal beurling transform

Mathematical Research Letters

Volumn 13, Issue 5-6, 2006, Pages 957-966

  Mateu, Joan ^a   Verdera, Joan ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846138615     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.2006.v13.n6.a10     Document Type: Article

References (5)

1. n Au-delàs des graphes lipschitziens, Astérisque 193 (1991).
2. J. Duoandikoetxea, Fourier analysis, Graduate studies in Mathematics 29, Amer. Math. Soc., Providence, 2001.
3. J. Mateu, J. Orobitg, C. Pérez and J. Verdera, Pointwise estimates for the maximal singular integral and Collar's inequality, in preparation.
4. E. M. Stein, Singular integrals and differentiability properties of functions,, Princeton Mathematical Series 30, Princeton University Press, Princeton, 1970.
5. 2 boundedness of the Cauchy Integral and Menger curvature, Contemporary Mathematics 277, Amer, Math. Soc., Providence, 2001, pp. 139-158.