Given any Banach space X, let L: denote the Banach space of all measurable functions f : [0, 11 + X for which llfllz:=( Ilf(t)ll'dt)l'z is finite. We show that X is a UMD-space (see [l]) if and only if lim [ I f -SJj)llZ = O for all EL.:, n where n-1 SnCnl= C (h wi>wi i = o is the n-th partial sum
On Convergence of Vector-Valued Amarts of Finite Order
β Scribed by Dinh Quang Luu
- Publisher
- John Wiley and Sons
- Year
- 1983
- Tongue
- English
- Weight
- 323 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
We study weighted inequalities for vector valued extensions of the conditioned square function operator and of the maximal operators of matrix type in the case of regular martingales. As applications we obtain weighted inequalities for vectorvalued extensions of the HardyαLittlewood maximal operator
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