Geodesic
Two remarks on the relationship between BMO-regularity and analytic stability of interpolation for lattices of measurable functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 37, Tome 366 (2009), pp. 102-115 
D. V. Rutsky. Two remarks on the relationship between BMO-regularity and analytic stability of interpolation for lattices of measurable functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 37, Tome 366 (2009), pp. 102-115. http://geodesic.mathdoc.fr/item/ZNSL_2009_366_a6/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The subject-matter of this paper is Hardy type spaces on the measure space $(\mathbb T,m)\times(\Omega,\mu)$, where $(\mathbb T,m)$ is the unit circle with Lebesgue measure. There is a characterization of analytic stability for real interpolation of weighted Hardy spaces on $\mathbb T\times\Omega$ a complete proof of which was present in the literature only for the case where $\mu$ is a point mass. Here this gap is filled and the proof of the general case is presented. Next, in previous work by S. Kislyakov, certain results concerning BMO-regular lattices on $(\mathbb T\times\Omega,m\times\mu)$ were proved under the assumption that the measure $\mu$ is discrete. Here this extraneous assumption is lifted. Bibl. – 9 titles.

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[9] S. V .Kislyakov, “O BMO-regulyarnykh reshetkakh izmerimykh funktsii. II”, Zapiski nauchn. semin. POMI, 303(31), 2003, 161–168 | MR