Some results related to interpolation on hardy spaces of regular martingales |
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Authors: | Quanhua Xu |
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Institution: | (1) Equipe d'Analyse; 46-0, Université Paris 6, 4ème Etage 4, Place Jussieu, 75252 Paris Cedex 05, France |
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Abstract: | Let (Ω,F, P) be a probability space and {F
n}n≥0 a regular increasing sequence of sub-σ-fields ofF. LetH
1(Ω) be the usual Hardy space ofF
n-martingales. We show that the couple (H
1(Ω),L
∞(Ω)) is a partial retract of (L
1(Ω),L
∞(Ω)). It is also proved that (L
p(Ω),BMO(Ω)) is a partial retract of (L
p(Ω),L
∞(Ω)) for all 1<p<∞. |
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Keywords: | |
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