7 citations · 14 across the 13 of their papers we have counts for
18 papers
A weak 2-weight problem for the Poisson-Hermite semigroup
Gustavo Garrigos
This survey is a slightly extended version of the lecture given by the author at the \emph{VI International Course of Mathematical Analysis in Andaluc\'ıa} (CIDAMA), in September 2…
Pointwise convergence of fractional powers of Hermite type operators
Guillermo Flores, Gustavo Garrigos, Teresa Signes +1
When is the Hermite or the Ornstein-Uhlenbeck operator, we find minimal integrability and smoothness conditions on a function so that the fractional power is we…
Lebesgue-type inequalities in greedy approximation
Stephen Dilworth, Gustavo Garrigos, Eugenio Hernandez +2
We present new results regarding Lebesgue-type inequalities for the Weak Chebyshev Greedy Algorithm (WCGA) in uniformly smooth Banach spaces. We improve earlier bounds in Temlyakov…
The Haar System in Triebel-Lizorkin Spaces: Endpoint Results
Gustavo Garrigós, Andreas Seeger, Tino Ullrich
We characterize the Schauder and unconditional basis properties for the Haar system in the Triebel-Lizorkin spaces , at the endpoint cases , and…
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…