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A well known result by Rubio de Francia asserts that for every finite family of disjoint intervals {I k } in R, and p in the range 2 ≤ p < ∞, there exists Cp > 0 such that X k r k S I k f L p L p ([0,1]) (R) ≤ Cpf L p (R) , where the r k 's are the Rademacher functions. In this note we prove that, given a compact connected abelian group G with dual group Γ(More)
In this paper we discuss a transference method of L p-boundedness properties for harmonic analysis operators in the Hermite setting to the corresponding operators in the Laguerre context. As a byproduct of our procedure we obtain new characterizations of certain classes of Banach spaces and Köethe spaces.
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