Displaying similar documents to “Endpoint multiplier theorems of Marcinkiewicz type.”

Absolute values of BMOA functions.

Konstantin M. Dyakonov (1999)

Revista Matemática Iberoamericana

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The paper contains a complete characterization of the moduli of BMOA functions. These are described explicitly by a certain Muckenhoupt-type condition involving Poisson integrals. As a consequence, it is shown that an outer function with BMO modulus need not belong to BMOA. Some related results are obtained for the Bloch space.

Goldbach numbers in sparse sequences

Jörg Brüdern, Alberto Perelli (1998)

Annales de l'institut Fourier

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We show that for almost all n N , the inequality | p 1 + p 2 - exp ( ( log n ) γ ) | < 1 has solutions with odd prime numbers p 1 and p 2 , provided 1 < γ < 3 2 . Moreover, we give a rather sharp bound for the exceptional set. This result provides almost-all results for Goldbach numbers in sequences rather thinner than the values taken by any polynomial.

On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.

María Jesús Carro (2002)

Publicacions Matemàtiques

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Given a sublinear operator T satisfying that ||Tf||Lp(ν) ≤ C/(p-1) ||f||Lp(μ), for every 1 < p ≤ p0, with C independent of f and p, it was proved in [C] that... [check the paper abstract for the formula] This estimate implies that T: L log L → B, where B is a rearrangement invariant space. The purpose of this note is to give several...