52 citations · 224 across the 33 of their papers we have counts for
29 papers · 1 filter
A characterization of the uniform strong type bounds for averaging operators
J. M. Aldaz
We prove that in a metric measure space , the averaging operators satisfy a uniform strong type bound …
Besicovitch and doubling type properties in metric spaces
J. M. Aldaz
We explore the relationship in metric spaces between different properties related to the Besicovitch covering theorem, and also consider weak versions of doubling, in connection to…
Variations on the Boman covering lemma
J. M. Aldaz
We explore some variants of the Boman covering lemma, and their relationship to the boundedness properties of the maximal operator. Let and let be its conjugat…
Kissing numbers and the centered maximal operator
J. M. Aldaz
We prove that in a metric measure space , if for some there are uniform bounds (independent of the measure) for the weak type of the centered maximal…
Generalized Bernstein operators defined by increasing nodes
J. M. Aldaz, H. Render
We study certain generalizations of the classical Bernstein operators, defined via increasing sequences of nodes. Such operators are required to fix two functions, and ,…
Generalized Bernstein operators on the classical polynomial spaces
J. M. Aldaz, H. Render
We study generalizations of the classical Bernstein operators on polynomial spaces, where instead of fixing and , we require that and a strictly increa…