Geodesic
Strong factorization of operators defined on subspaces of analytic functions in lattices
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 34, Tome 333 (2006), pp. 5-16 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that for every 2-concave Banach lattice $X$ of measurable fuctions on the circle, the quotient space $X/X_A$ has cotype 2. Here $X_A$ denotes the subclass of $X$ consisting of the boundary values of analytic functions. It is also shown that, under slight additional assumptions, a $p$-concave operator defined on $X_A$ factors through $L^p_A=H^p$ and extends to $X$, provided that $X$ is 2-convex. 
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D. S. Anisimov; S. V. Kislyakov. Strong factorization of operators defined on subspaces of analytic functions in lattices. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 34, Tome 333 (2006), pp. 5-16. http://geodesic.mathdoc.fr/item/ZNSL_2006_333_a0/

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