Geodesic
On a weak type (1,1) inequality for a maximal conjugate function
Studia Mathematica, Tome 125 (1997) no. 1, pp. 13-21

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In their celebrated paper [3], Burkholder, Gundy, and Silverstein used Brownian motion to derive a maximal function characterization of $H^p$ spaces for 0 p ∞. In the present paper, we show that the methods in [3] extend to higher dimensions and yield a dimension-free weak type (1,1) estimate for a conjugate function on the N-dimensional torus.
DOI : 10.4064/sm-125-1-13-21

Nakhlé H. Asmar 1 ; Stephen J. Montgomery-Smith 1

1 
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Nakhlé H. Asmar; Stephen J. Montgomery-Smith. On a weak type (1,1) inequality for a maximal conjugate function. Studia Mathematica, Tome 125 (1997) no. 1, pp. 13-21. doi: 10.4064/sm-125-1-13-21

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