Journal
STUDIA MATHEMATICA
Volume 220, Issue 1, Pages 87-100Publisher
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
DOI: 10.4064/sm220-1-5
Keywords
martingale; pointwise multiplier; Campanato space; bounded mean oscillation
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Funding
- Japan Society for the Promotion of Science [24540159, 24540171]
- Grants-in-Aid for Scientific Research [24540159, 24540171] Funding Source: KAKEN
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We introduce'generalized Campanato spaces L-p,L-phi on a probability Space (Omega, F, P), where p is an element of [1, infinity) and phi: (0,1] -> (0, infinity). If p = 1 and phi equivalent to 1, then L-p,L-phi = BMO. We give a characterization of the set of all pointwise multipliers on L-p,L-phi.
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