Pointwise multipliers on martingale Campanato spaces

Eiichi Nakai; Gaku Sadasue

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arXiv · 1304.5736

Pointwise multipliers on martingale Campanato spaces

Eiichi Nakai·Gaku Sadasue

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Abstract

We introduce generalized Campanato spaces $\mathcal{L}_{p,\phi}$ on a probability space $(\Omega,\mathcal{F},P)$, where $p\in[1,\infty)$ and $\phi:(0,1]\to(0,\infty)$. If $p=1$ and $\phi\equiv1$, then $\mathcal{L}_{p,\phi}=\mathrm{BMO}$. We give a characterization of the set of all pointwise multipliers on $\mathcal{L}_{p,\phi}$.

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Eiichi Nakai, Gaku Sadasue. 2013-04-21. Pointwise multipliers on martingale Campanato spaces. https://arxiv.org/abs/1304.5736

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