On a weak type (1, 1) inequality for a maximal conjugate function

dc.contributor.author	Asmar, Nakhlé H.	eng
dc.contributor.author	Montgomery-Smith, Stephen, 1963-	eng
dc.date.issued	2011	eng
dc.description	The final version of this paper appears in: "Studia Mathematica" 125 (1997): 13-21. Print.	eng
dc.description.abstract	In a celebrated paper, Burkholder, Gundy, and Silverstein used Brownian motion to derive a maximal function characterization of Hp spaces for 0 < p < ∞. In this paper, we show that their method extends to higher dimensions and yields a dimension-free weak type (1,1) estimate for a conjugate function on the N-dimensional torus.	eng
dc.identifier.uri	http://hdl.handle.net/10355/9758	eng
dc.relation.ispartof	Mathematics publications (MU)	eng
dc.relation.ispartofcommunity	University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics	eng
dc.subject	Lebesgue measure	eng
dc.subject.lcsh	Martingales (Mathematics)	eng
dc.subject.lcsh	Lebesgue integral	eng
dc.subject.lcsh	Brownian motion processes	eng
dc.title	On a weak type (1, 1) inequality for a maximal conjugate function	eng
dc.type	Preprint	eng

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