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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
| 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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Mathematics publications (MU) [119]
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