Geodesic
Pointwise multipliers on martingale Campanato spaces
Eiichi Nakai1 ; Gaku Sadasue2
1 Department of Mathematics Ibaraki University Mito, Ibaraki 310-8512, Japan
2 Department of Mathematics Osaka Kyoiku University Kashiwara, Osaka 582-8582, Japan
Studia Mathematica, Tome 220 (2014) no. 1, pp. 87-100 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\mathcal {L}_{p,\phi }$.
DOI : 10.4064/sm220-1-5
Keywords: introduce generalized campanato spaces mathcal phi probability space varomega mathcal where infty phi infty phi equiv mathcal phi mathrm bmo characterization set pointwise multipliers mathcal phi

Eiichi Nakai 1 ; Gaku Sadasue 2

1 Department of Mathematics Ibaraki University Mito, Ibaraki 310-8512, Japan
2 Department of Mathematics Osaka Kyoiku University Kashiwara, Osaka 582-8582, Japan 
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Eiichi Nakai; Gaku Sadasue. Pointwise multipliers on martingale Campanato spaces. Studia Mathematica, Tome 220 (2014) no. 1, pp. 87-100. doi: 10.4064/sm220-1-5

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