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Moyennes et quotients de Taylor dans BMO. (French) Zbl 0543.42013
The main results of the paper are, that under certain conditions on ψ the mean operator P:fPf with (Pf)(x):= 0 1 f(tx)ψ(t)dt is bounded from BMO(R n ) into itself and, moreover, commutes with the Hilbert-transform (the case n=1) and with certain Caldéron-Zygmund operators (and thus with the Riesz-operator) in the case n2.
Reviewer: M.G.de Bruin
MSC:
42B20Singular and oscillatory integrals, several variables
46E35Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
44A05General integral transforms