26 citations · 79 across the 54 of their papers we have counts for
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Fundamental functions of almost greedy bases of for
Jose L. Ansorena
We prove that the fundamental function of any almost greedy basis of , , grows as either or .
Fourier coefficients of functions in power-weighted -spaces and conditionality constants of bases in Banach spaces
Jose L. Ansorena
We prove that, given , the Fourier coefficients of functions in belong to , and that, given , the Fourier…
Weaker forms of unconditionality of bases in greedy approximation
Fernando Albiac, Jose L. Ansorena, Miguel Berasategui +2
In this paper we study a new class of bases, weaker than quasi-greedy bases, which retain their unconditionality properties and can provide the same optimality for the thresholding…
Bidemocratic bases and their connections with other greedy-type bases
Fernando Albiac, Jose L. Ansorena, Miguel Berasategui +2
In nonlinear greedy approximation theory, bidemocratic bases have traditionally played the role of dualizing democratic, greedy, quasi-greedy, or almost greedy bases. In this artic…
Lorentz spaces and embeddings induced by almost greedy bases in superreflexive Banach spaces
José L. Ansorena, Glenier Bello, Przemysław Wojtaszczyk
The aim of this paper is to show that almost greedy bases induce tighter embeddings in superreflexive Banach spaces than in general Banach spaces. More specifically, we show that a…
New parameters and Lebesgue-type estimates in greedy approximation
Fernando Albiac, Jose L. Ansorena, Pablo M. Berna
The purpose of this paper is to quantify the size of the Lebesgue constants associated with the thresholding greedy algorithm in terms of a new generation of…