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Article
Diversities, hyperconvexity and fixed points
(Elsevier, 2014-01)
Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. In this work we take up a number of questions about hyperconvexity, diversities and fixed points ...
Article
A local spectral condition for strong compactness with some applications to bilateral weighted shifts
(American Mathematical Society, 2014-01)
An algebra of bounded linear operators on a Banach space is said to be strongly compact if its unit ball is precompact in the strong operator topology, and a bounded linear operator on a Banach space is said to be strongly ...
Article
A Bp condition for the strong maximal function
(American Mathematical Society, 2014-11)
A strong version of the Orlicz maximal operator is introduced and a natural Bp condition for the rectangle case is defined to characterize its boundedness. This fact let us to describe a sufficient condition for the two ...
Article
Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem
(National Academy of Sciences (United States), 2014)
In this paper, for both the sharp front surface quasi-geostrophic equation and the Muskat problem, we rule out the “splash singularity” blow-up scenario; in other words, we prove that the contours evolving from either of ...