A sharp correction theorem
Kisliakov, S.
Studia Mathematica, Tome 113 (1995), p. 177-196 / Harvested from The Polish Digital Mathematics Library
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Under certain conditions on a function space X, it is proved that for every L∞-function f with ∥f∥∞≤1 one can find a function φ, 0 ≤ φ ≤ 1, such that φf ∈ X, mesφ≠1≤ɛ∥f∥1 and ∥φf∥X≤const(1+logɛ-1). For X one can take, e.g., the space of functions with uniformly bounded Fourier sums, or the space of L∞-functions on ℝn whose convolutions with a fixed finite collection of Calderón-Zygmund kernels are also bounded.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:216168 
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Kisliakov, S. A sharp correction theorem. Studia Mathematica, Tome 113 (1995) pp. 177-196. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv113i2p177bwm/

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