7 papers
Strong partially greedy bases and Lebesgue-type inequalities
Miguel Berasategui, Pablo M. Berná, Silvia Lassalle
In this paper we continue the study of Lebesgue-type inequalities for greedy algorithms. We introduce the notion of strong partially greedy Markushevich bases and study the Lebesgu…
Nonlocal diffusion equations with dynamical boundary conditions
Pablo M. Berna, Julio D. Rossi
In this paper we study nonlocal problems that are analogous to the local ones given by the Laplacian or the p-Laplacian with dynamical boundary conditions. We deal both with smooth…
Greedy approximation for biorthogonal systems in quasi-Banach spaces
Fernando Albiac, Jose L. Ansorena, Pablo M. Berna +1
The general problem addressed in this work is the development of a systematic study of the thresholding greedy algorithm for general biorthogonal systems (also known as Markushevic…
Lebesgue inequalities for Chebyshev Thresholding Greedy Algorithms
Pablo M. Berná, Oscar Blasco, Gustavo Garrigós +2
We establish estimates for the Lebesgue parameters of the Chebyshev Weak Thresholding Greedy Algorithm in the case of general bases in Banach spaces. These generalize and slightly…
Embeddings and Lebesgue-type inequalities for the greedy algorithm in Banach spaces
P. M. Berná, O. Blasco, G. Garrigós +2
We obtain Lebesgue-type inequalities for the greedy algorithm for arbitrary complete seminormalized biorthogonal systems in Banach spaces. The bounds are given only in terms of the…
Lebesgue inequalities for the greedy algorithm in general bases
Pablo M. Berná, Gustavo Garrigós, Óscar Blasco
We present various estimates for the Lebesgue constants of the thresholding greedy algorithm, in the case of general bases in Banach spaces. We show the optimality of these estimat…