PURPOSE. To test the hypotheses that: (1) structure-function (SF) relationships between visual fields (VF) and Bruch's membrane opening-based minimum rim width (BMO-MRW) measurements are superior to those for peripapillary ...

We prove the weighted boundedness for a family of integral operators Tα on Lebesgue spaces and local BMO type spaces. To this end we show that Tα can be controlled by the Calderón operator and a local maximal operator. ...

The purpose of this work is to investigate the behavior of the Local MaximalOperator on appropriate weighted BMO spaces. We believe that ourresult (see theorem below) is new even in the unweighted case.

In this work we obtain boundedness on suitable weighted BMO type spaces of Riesz transforms, and their adjoints, associated to the Schrödinger operator - Δ + V, where V satisfies a reverse Hölder inequality. Our results ...

We prove the weighted boundedness for a family of integral operators Tα on Lebesgue spaces and local BMO type spaces. To this end we show that Tα can be controlled by the Calder ́on operator and a local maximal operator. ...

For the system of Laguerre functions inline image we define a suitable BMO space from the atomic version of the Hardy space inline image considered by Dziubański in [7], where inline image is the maximal operator of the ...

In this note we generalize the definition of the Fujii-Wilson condition providing quantitative characterizations of some interesting classes of weights, such as A∞, A weak∞ and Cp, in terms of BMO type spaces suited to ...

Necessary and sufficient conditions are given for generalized Calderón and Hilbert operators to be bounded from weighted Lebesgue spaces into suitable weighted BMO and Lipschitz spaces. Moreover, we have obtained new results ...

In this work we give sufficient and necessary conditions for the boundednessof the fractional integral operator acting between weighted Orlicz spaces and suitableBMOφ spaces, in the general setting of spaces of homogeneous ...