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Pointwise estimate for the Hardy-Littlewood maximal operator on the orbits of contractive mappings
(Academic Press Inc Elsevier Science, 2012-11)
Let M n denote the Hardy-Littlewood maximal operator on the n-th iteration of a given iterated function system (IFS). We give sufficient conditions on the IFS in order to obtain a pointwise estimate for M n in terms of the ...
Weak-type boundedness of the Hardy-Littlewood maximal operator on weighted Lorentz spaces
(Birkhauser Boston Inc, 2016-01)
The main goal of this paper is to provide a characterization of the weak-type boundedness of the Hardy–Littlewood maximal operator, M, on weighted Lorentz spaces Λpu(w)Λup(w) , whenever p>1p>1 . This solves a problem ...
On the Lp boundedness of the non-centered gaussian hardy-littlewood maximal function
(American Mathematical Society, 2002-12)
The purpose of this paper is to prove the Lp(Rn, dγ) boundedness, for p > 1, of the non-centered Hardy-Littlewood maximal operator associated with the Gaussian measure dγ = e-|x|(2) dx.
Weighted Local BMO Spaces and the Local Hardy-Littlewood Maximal Operator
(Unión Matemática Argentina, 2011-10)
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.
Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
(Oxford University Press, 2014-04)
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give the complete characterization of the strong boundedness of H on these spaces in terms of some geometric conditions on the ...
Boundedness of the Hardy–Littlewood Maximal Operator Along the Orbits of Contractive Similitudes
(Springer, 2012-03)
In this note we obtain results regarding the preservation of homogeneity properties along the whole orbit of a given iterated function system (IFS). We have essentially two types of results. The first class of them contains ...
A new quantitative two weight theorem for the Hardy-Littlewood maximal operator
(American Mathematical Society, 2015-02)
A quantitative two weight theorem for the Hardy-Littlewood maximal operator is proved, improving the known ones. As a consequence, a new proof of the main results in papers by Hyt¨onen and the first author and Hyt¨onen, ...