Displaying similar documents to “The two weight problem for operators in the upper half-plane”

Vector-valued inequalities with weights.

Luz M. Fernández-Cabrera, José L. Torrea (1993)

Publicacions Matemàtiques

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This paper deals with the following problem: Let T be a given operator. Find conditions on v(x) (resp. u(x)) such that ∫ |Tf(x)|pu(x) dx ≤ C ∫ |f(x)|pv(x) dx is satisfied for some u(x) (resp. v(x)). Using vector-valued inequalities the problem is solved for: Carleson's maximal operator of Fourier partial sums, Littlewood-Paley square functions, Hilbert transform of functions...

The work of José Luis Rubio de Francia (II).

José García-Cuerva (1991)

Publicacions Matemàtiques

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I am going to discuss the work José Luis Rubio did on weighted norm inequalities. Most of it is in the book we wrote together on the subject [12].

Weighted inequalities and vector-valued Calderón-Zygmund operators on non-homogeneous spaces.

José García Cuerva, José María Martell (2000)

Publicacions Matemàtiques

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Recently, F. Nazarov, S. Treil and A. Volberg (and independently X. Tolsa) have extended the classical theory of Calderón-Zygmund operators to the context of a non-homogeneous space (X,d,μ) where, in particular, the measure μ may be non-doubling. In the present work we study weighted inequalities for these operators. Specifically, for 1 < p < ∞, we identify sufficient conditions for the weight on one side, which guarantee the existence of another weight in the other side,...

On the resolvents of dyadic paraproducts.

María Cristina Pereyra (1994)

Revista Matemática Iberoamericana

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We consider the boundedness of certain singular integral operators that arose in the study of Sobolev spaces on Lipschitz curves, [P1]. The standard theory available (David and Journé's T1 Theorem, for instance; see [D]) does not apply to this case becuase the operators are not necessarily Calderón-Zygmund operators, [Ch]. One of these operators gives an explicit formula for the resolvent at λ = 1 of the dyadic paraproduct, [Ch].