Displaying similar documents to “Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's (Ap) condition.”

Weak conditions for interpolation in holomorphic spaces.

Alexander P Schuster, Kristian Seip (2000)

Publicacions Matemàtiques

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An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in L spaces of holomorphic functions of Paley-Wiener-type when 0 < p ≤ 1, of Fock-type when 0 < p ≤ 2, and of Bergman-type when 0 < p < ∞. Moreover, if a uniformly discrete sequence has a certain uniform non-uniqueness property with respect to any such L space (0 < p < ∞), then it...

Generalized interpolation in the unit ball.

Nicolas Marco (2001)

Publicacions Matemàtiques

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We study a generalized interpolation problem for the space H(B) of bounded homomorphic functions in the ball B. A sequence Z = {z} of B is an interpolating sequence of order 1 if for all sequence of values w satisfying conditions of order 1 (that is discrete derivatives in the pseudohyperbolic metric are bounded) there exists a function f ∈ H(B) such that f(z) = w. These sequences are characterized as unions of 3 free interpolating sequences for H(B) such that all triplets of Z made...

Calderon weights and the real interpolation method.

J. Bastero, M. Milman, F. J. Ruiz (1996)

Revista Matemática de la Universidad Complutense de Madrid

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We introduce a class of weights for a which a rich theory of real interpolation can be developed. In particular it led us to extend the commutator theorems associated to this method.

On the two weights problem for the Hilbert transform.

Nets Hawk Katz, Cristina Pereyra (1997)

Revista Matemática Iberoamericana

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In this paper, we prove sufficient conditions on pairs of weights (u,v) (scalar, matrix or operator valued) so that the Hilbert transform H f(x) = p.v. ∫ [f(y) / x - y] dy, is bounded from L2(u) to L2(v).

Interpolation between H spaces and non-commutative generalizations (II).

Gilles Pisier (1993)

Revista Matemática Iberoamericana

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We continue an investigation started in a preceding paper. We discuss tha classical result of Carleson connecting Carleson measures with the ∂-equation in a slightly more abstract framework than usual. We also consider a more recent result of Peter Jones which shows the existence of a solution for the ∂-equation, which satisfies simultaneously a good L∞ estimate and a good L1 estimate. This appears as a special case of our main result which can...

Nonclassical interpolation in spaces of smooth functions

Vladimir Ovchinnikov (1999)

Studia Mathematica

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We prove that the fractional BMO space on a one-dimensional manifold is an interpolation space between C and C 1 . We also prove that B M O 1 is an interpolation space between C and C 2 . 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...