Nonclassical interpolation in spaces of smooth functions
Ovchinnikov, Vladimir
Studia Mathematica, Tome 133 (1999), p. 203-218 / Harvested from The Polish Digital Mathematics Library
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We prove that the fractional BMO space on a one-dimensional manifold is an interpolation space between C and C1. We also prove that BMO1 is an interpolation space between C and C2. The proof is based on some nonclassical interpolation constructions. The results obtained cannot be transferred to spaces of functions defined on manifolds of higher dimension. The interpolation description of fractional BMO spaces is used at the end of the paper for the proof of the boundedness of commutators of the Hilbert transform.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216651 
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Ovchinnikov, Vladimir. Nonclassical interpolation in spaces of smooth functions. Studia Mathematica, Tome 133 (1999) pp. 203-218. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv135i3p203bwm/

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