Pointwise multipliers on martingale Campanato spaces
Tom 220 / 2014
Studia Mathematica 220 (2014), 87-100
MSC: Primary 60G46; Secondary 46E30, 42B35.
DOI: 10.4064/sm220-1-5
Streszczenie
We introduce generalized Campanato spaces 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 }.
