Atomic characterizations of weak martingale Musielak–Orlicz Hardy spaces and their applications
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DOI: 10.1215/17358787-2018-0050
Abstract: Let $(\Omega,\mathcal{F},\mathbb{P})$ be a probability space and $\varphi:\ \Omega\times[0,\infty)\to [0,\infty)$ be a Musielak--Orlicz function. In this article, the authors establish the atomic characterizations of weak martingale Musielak--Orlicz Hardy spaces $WH_{\varphi}^s(\Omega)$, $WH_{\varphi}^M(\Omega)$, $WH_{\varphi}^S(\Omega)$, $WP_{\varphi}(\Omega)$ and $WQ_{\varphi}(\Omega)$.… read more here.
Keywords: varphi omega; musielak orlicz; orlicz hardy; hardy spaces ... See more keywords