Differential Equations

Download e-book for iPad: Brownian Motion, Hardy Spaces and Bounded Mean Oscillation by K. E. Petersen

By K. E. Petersen

This exposition of study at the martingale and analytic inequalities linked to Hardy areas and features of bounded suggest oscillation (BMO) introduces the topic by means of targeting the relationship among the probabilistic and analytic ways. brief surveys of classical effects at the maximal, sq. and Littlewood-Paley services and the idea of Brownian movement introduce an in depth dialogue of the Burkholder-Gundy-Silverstein characterization of HP by way of maximal features. The booklet examines the root of the summary martingale definitions of HP and BMO, makes in general to be had for the 1st time paintings of Gundy et al. on characterizations of BMO, and encompasses a probabilistic facts of the Fefferman-Stein Theorem at the duality of H11 and BMO.

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Brownian Motion, Hardy Spaces and Bounded Mean Oscillation (London Mathematical Society Lecture Note Series) by K. E. Petersen

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