Pointwise multipliers on martingale Campanato spaces
Volume 220 / 2014
Studia Mathematica 220 (2014), 87-100
MSC: Primary 60G46; Secondary 46E30, 42B35.
DOI: 10.4064/sm220-1-5
Abstract
We introduce generalized Campanato spaces $\mathcal {L}_{p,\phi }$ on a probability space $(\varOmega ,\mathcal {F},P)$, where $p\in [1,\infty )$ and $\phi :(0,1]\to (0,\infty )$. If $p=1$ and $\phi \equiv 1$, then $\mathcal {L}_{p,\phi }=\mathrm {BMO}$. We give a characterization of the set of all pointwise multipliers on $\mathcal {L}_{p,\phi }$.
