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of 111
pro vyhledávání: '"Blasco, Óscar"'
Autor:
Blasco, Óscar, Galbis, Antonio
We obtain a complete characterization of the bounded Hausdorff operators acting on a Fock space $F^p_\alpha$ and taking its values into a larger one $F^q_\alpha,\ 0 < p \leq q \leq \infty,$ as well as some necessary or sufficient conditions for a Hau
Externí odkaz:
http://arxiv.org/abs/2310.01059
We continue the study initiated in [F. Albiac and P. Wojtaszczyk, Characterization of $1$-greedy bases, J. Approx. Theory 138 (2006), no. 1, 65-86] of properties related to greedy bases in the case when the constants involved are sharp, i.e., in the
Externí odkaz:
http://arxiv.org/abs/2304.05888
Autor:
Blasco, Oscar
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 December 2024 540(1)
Autor:
Blasco, Oscar
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 January 2024 529(2)
Publikováno v:
In Journal of Approximation Theory January 2024 297
Autor:
Blasco, Oscar, Osancliol, Alen
Let $\Phi_1 , \Phi_2 $ and $ \Phi_3$ be Young functions and let $L^{\Phi_1}(\mathbb{R})$, $L^{\Phi_2}(\mathbb{R})$ and $L^{\Phi_3}(\mathbb{R})$ be the corresponding Orlicz spaces. We say that a function $m(\xi,\eta)$ defined on $\mathbb{R}\times \mat
Externí odkaz:
http://arxiv.org/abs/1902.01116
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 improve earlier results in [9], and are complemented with examples sho
Externí odkaz:
http://arxiv.org/abs/1811.04268
Akademický článek
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Autor:
Berná, Pablo M., Blasco, Óscar
In this paper we show that that greedy bases can be defined as those where the error term using $m$-greedy approximant is uniformly bounded by the best $m$-term approximation with respect to polynomials with constant coefficients in the context of th
Externí odkaz:
http://arxiv.org/abs/1606.07250
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 estimates in some situations. Our results recover and slightly improve variou
Externí odkaz:
http://arxiv.org/abs/1606.06721