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

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

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/9758

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Title: On a weak type (1, 1) inequality for a maximal conjugate function
Author: Asmar, Nakhlé H.; Montgomery-Smith, Stephen, 1963-
Keywords: Lebesgue measure
Date: 2011-01-27
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.
URI: http://hdl.handle.net/10355/9758

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