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- Cristina Pereyra
- 1998

In this paper we present a brief survey on Haar multipliers, dyadic paraproducts, and recent results on their applications to deduce scalar and vector valued weighted inequalities. We present a new proof of the boundedness of a Haar multiplier in L p (R). The proof is based on a stopping time argument suggested by P. W. Jones for the case p = 2, that it is… (More)

In this paper we construct a family of divergence-free multiwavelets. The construction follows Lemari e's procedure. In the process we nd multiresolution analyses (MRA) related by diierentiation and integration to a family of biorthogonal MRAs constructed by Hardin and Marasovich. The multiscaling and multiwavelets constructed have symmetries and support… (More)

- IA CRISTINA PEREYRA, CRISTINA PEREYRA
- 2007

The existence of a bounded inverse of (I ? b) on L p ((b is the dyadic paraproduct) does not imply the same for (I ? b), ?1 < 1 (we present a counterexample); but it guarantees the existence of 1 < po such that there exist a bounded inverse in L po for every ?1 1. This is equivalent to showing that the RH d p class of weights is not preserved under certain… (More)

We show that if an operator T is bounded on weighted Lebesgue space L 2 (w) and obeys a linear bound with respect to the A 2 constant of the weight, then its commutator [b, T ] with a function b in BM O will obey a quadratic bound with respect to the A 2 constant of the weight. We also prove that the kth-order commutator T k b = [b, T k−1 b ] will obey a… (More)

- JEAN CARLO MORAES, CRISTINA PEREYRA, M. C. PEREYRA
- 2013

We extend the definitions of dyadic paraproduct and t-Haar multipliers to dyadic operators that depend on the complexity (m, n), for m and n natural numbers. We use the ideas developed by Nazarov and Volberg in [NV] to prove that the weighted L 2 (w)-norm of a paraproduct with complexity (m, n), associated to a function b ∈ BM O d , depends linearly on the… (More)

x0 Introduction In this paper, we prove suucient conditions on pairs of weights (u; v) (scalar, matrix or operator valued) so that the Hilbert transform Hf(x) = p: v: Z f(y) x ? y dy; is bounded from L 2 (u) to L 2 (v). When u = v are scalar, the classical results were given in HMW] and CF]. Earlier, HS] gave a characterization of these weights by complex… (More)

- Oleksandra V. Beznosova, Cristina Pereyra
- 2008

The dyadic paraproduct is bounded in weighted Lebesgue spaces Lp(w) if and only if the weight w belongs to the Muckenhoupt class A d p. However, the sharp bounds on the norm of the dyadic paraproduct are not known even in the simplest L2(w) case. In this paper we prove the linear bound on the norm of the dyadic paraproduct in the weighted Lebesgue space… (More)

- C Pereyra, L Benito Mori, +9 authors G Diaz
- Transplantation proceedings
- 2012

Decompressive craniectomy (DC) is a surgical practice that has been used since the late 19th century. The cerebral blood flow increase after the performance of a DC can delay and even prevent the development of cerebral circulatory arrest and brain death (BD). We aimed to determine the prevalence of BD, the use of DC, and the evolution to BD with versus… (More)

- OLEKSANDRA BEZNOSOVA, JEAN CARLO MORAES, CRISTINA PEREYRA, Tuomas Hytönen, M. C. PEREYRA
- 2013

We show that if a weight w ∈ C d 2t and there is q > 1 such that w 2t ∈ A d q , then the L 2-norm of the t-Haar multiplier of complexity (m, n) associated to w depends on the square root of the C d 2t-characteristic of w times the square root A d q-characteristic of w 2t times a constant that depends polynomially on the complexity. In particular, if w ∈ C d… (More)

- M. D. Gordillo, M. A. Blanco, C. Pereyra, E. J. Martínez de la Ossa
- Computers & Chemical Engineering
- 2005