On a weak type (1,1) inequality for a maximal conjugate function
Asmar, Nakhlé ; Montgomery-Smith, Stephen
Studia Mathematica, Tome 122 (1997), p. 13-21 / Harvested from The Polish Digital Mathematics Library
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In their celebrated paper [3], Burkholder, Gundy, and Silverstein used Brownian motion to derive a maximal function characterization of Hp 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.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:216417 
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Asmar, Nakhlé; Montgomery-Smith, Stephen. On a weak type (1,1) inequality for a maximal conjugate function. Studia Mathematica, Tome 122 (1997) pp. 13-21. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv125i1p13bwm/

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