In this note we consider Haar type systems as unconditional bases for Lorentz spaces defined on spaces of homogeneous type. We also give characterizations of these spaces in terms of the Haar coefficients. The basic tools ...

We obtain boundedness results for the higher order commutators of singular integral operators between weighted Lebesgue spaces, including Lp-BMO and Lp-Lipschitz estimates. The kernels of such operators satisfy certain ...

We give extrapolation results starting from weighted inequalities between Lebesgue and Lipschitz spaces, given by sup B kwχBk∞ |B| 1+ δ n ˆ B |f(x) − mB(f)| dx ≤ C kgwks , (0.1) where 1 < β < ∞, 0 ≤ δ < 1, δ n = 1 β − 1 s ...

A post-processing technique is presented for correcting images undersampled in k-space. The method works by taking advantage of the image's background zeros (dynamically segmented through the application of a threshold) ...

In this work we give extrapolation results on weighted Lebesgue spaces for weights associated to a family of operators. The starting point for the extrapolation can be the knowledge of boundedness on a particular Lebesgue ...

In this paper we present the results announced in the recent work by the first, second, and fourth authors of the current paper concerning Rubio de Francia extrapolation for the so-called multilinear Muckenhoupt classes. ...

We give two-weighted norm estimates for higher order commutator of classical operators such as singular integral and fractional type operators, between weighted L^p and certain spaces that include Lipschitz, BMO and Morrey ...

A unified method of approximation, extrapolation, and objective layering is offered for processing vertical oceanographic profiles. The method is demonstrated using seawater density and consists of adjustable splitting of ...

Clinical applications of quantitative computed tomography (qCT) in patients with pulmonary opacifications are hindered by the radiation exposure and by the arduous manual image processing. We hypothesized that extrapolation ...