Martingale Orlicz‐Hardy spaces
Copyright policy )Martingale Orlicz‐Hardy spaces
AbstractThe purpose of this paper is to introduce five martingale Orlicz‐Hardy spaces and to establish the atomic decomposition theorem. As applications we show the relation among five martingale Orlicz‐Hardy spaces and the duality, namely, the dual of martingale Orlicz‐Hardy spaces are generalized martingale Campanato spaces. Further, we prove a John‐Nirenberg type inequality for generalized martingale Campanato spaces when the stochastic basis is regular.
- Osaka Kyoiku University Japan
Orlicz-Hardy space, Martingale, bounded mean oscillation, Martingales and classical analysis, Campanato space, Hardy space, Function spaces arising in harmonic analysis, \(H^p\)-spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), atomic decomposition
Orlicz-Hardy space, Martingale, bounded mean oscillation, Martingales and classical analysis, Campanato space, Hardy space, Function spaces arising in harmonic analysis, \(H^p\)-spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), atomic decomposition
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).60 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!