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References

  1. R. Bañuelos, G. Wang, Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transformations, Duke Math. J. 80 (1995), 575-600. Math. Review 96k:60108
  2. R. Bañuelos, P. J. Méndez-Hernández, Space-time Brownian motion and the Beurling-Ahlfors transform, Indiana Univ. Math. J. 52 (2003), 981--990. Math. Review 2004h:60067
  3. D. L. Burkholder, Boundary value problems and sharp inequalities for martingale transforms, Ann. Probab. 12 (1984), 647-702. Math. Review 86b:60080
  4. D. L. Burkholder, Sharp inequalities for martingales and stochastic integrals, Colloque Paul L'evy (Palaiseau, 1987), Astérisque 157-158 (1988), 75-94. Math. Review 90b:60051
  5. D. L. Burkholder, Explorations in martingale theory and its applications, Ecole d'Été de Probabilités de Saint Flour XIX-1989, Lecture Notes in Mathematics 1464 (1991), 1-66 . Math. Review 92m:60037
  6. D. L. Burkholder, Martingales and singular integrals in Banach spaces, Handbook of the geometry of Banach spaces, Vol. I, 233--269, North-Holland, Amsterdam, 2001. Math. Review 2003b:46009
  7. C. Dellacherie, P. A. Meyer, Probabilities and potential B, North-Holland, Amsterdam, 1982. Math. Review 89b:60132
  8. S. Geiss, S. Montgomery-Smith, E. Saksman, On singular integral and martingale transforms, Trans. Amer. Math. Soc. 362 (2010), 553-575. Math. Review number not available.
  9. A. Osekowski, Inequalities for dominated martingales, Bernoulli 13 (2007), 54--79. Math. Review 2008e:60120
  10. A. Osekowski, Sharp LlogL inequalities for differentially subordinated martingales, Illinois J. Math. , 52 (2009), 745-756. Math. Review number not available.
  11. A. Osekowski, Sharp weak type inequalities for differentially subordinated martingales, Bernoulli 15 (2009), 871-897. Math. Review number not available.
  12. Y. Suh, A sharp weak type (p,p) inequality (p>2) for martingale transforms and other subordinate martingales, Trans. Amer. Math. Soc. 357 (2005), 1545-1564. Math. Review 2005k:60134
  13. G. Wang, Differential subordination and strong differential subordination for continuous time martingales and related sharp inequalities, Ann. Probab. 23 (1995), 522-551. Math. Review 96b:60120


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