A Characterization of BMO^α-martingale spaces by fractional Carleson measures

Chao Zhang; Wei Chen; Peide Liu

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arXiv · 1404.7721

A Characterization of BMO^α-martingale spaces by fractional Carleson measures

Chao Zhang·Wei Chen·Peide Liu

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Abstract

We give a characterization of $BMO^α$-martingale spaces by using fractional Carleson measures. We get the boudedness of martingale transform and square function on $BMO^α$-martingale spaces easily by using this characterization. We also proved the martingale version of Carleson's inequality related with $BMO^α$-martingales.

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Chao Zhang, Wei Chen, Peide Liu. 2014-05-09. A Characterization of BMO^α-martingale spaces by fractional Carleson measures. https://arxiv.org/abs/1404.7721

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