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Pointwise multipliers on martingale Campanato spaces
Published 21 Apr 2013 in math.PR, math.CA, and math.FA | (1304.5736v2)
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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