Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Gustavo Garrigós"'
Autor:
Gustavo Garrigós
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\'\i a} (CIDAMA), in September 2014. Most results are contained (in a slightly less general setting)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfecf751e4735c82381f49da530f43b8
http://arxiv.org/abs/2211.06374
http://arxiv.org/abs/2211.06374
Publikováno v:
The Journal of Geometric Analysis. 31:9045-9089
We characterize the Schauder and the unconditional basis properties for the Haar system in the Triebel–Lizorkin spaces $$F^s_{p,q}({{\mathbb {R}}}^d)$$ , at the endpoint cases $$s=1$$ , $$s=d/p-d$$ , and $$p=\infty $$ . Together with the earlier re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::759e5d2dca26adbed60fd73bf48ecba3
https://doi.org/10.1007/s12220-020-00577-x
https://doi.org/10.1007/s12220-020-00577-x
Autor:
Gustavo Garrigós, Guillermo Flores
Publikováno v:
Positivity. 24:565-584
We obtain explicit mean value formulas for the solutions of the diffusion equations associated with the Ornstein–Uhlenbeck and Hermite operators. From these, we derive various useful properties, such as maximum principles, uniqueness theorems and H
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c524f29573fe9612e55a4a0b37850a8c
https://doi.org/10.1007/s11117-019-00697-x
https://doi.org/10.1007/s11117-019-00697-x
Publikováno v:
Geometric Aspects of Harmonic Analysis ISBN: 9783030720575
We study Schauder basis properties for the Haar system in Besov spaces \(B^s_{p,q}(\mathbb {R}^d)\). We give a complete description of the limiting cases, obtaining various positive results for \(q\leq \min \{1,p\}\), and providing new counterexample
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4631b6cf3f0818057f0737e6afe3c65c
https://doi.org/10.1007/978-3-030-72058-2_11
https://doi.org/10.1007/978-3-030-72058-2_11
Autor:
Gustavo Garrigós
Publikováno v:
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
In this paper, we study general properties of $\alpha$-localized wavelets and multiresolution analyses, when $\frac12 < \alpha\leq\infty$. Related to the latter, we improve a well-known result of A. Cohen by showing that the correspondence $m\mapsto{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3222a4fdd336e08ff3b0789013c09ba1
http://hdl.handle.net/2072/379917
http://hdl.handle.net/2072/379917
Publikováno v:
Journal of Fourier Analysis and Applications. 24:1319-1339
We show that, for suitable enumerations, the Haar system is a Schauder basis in the classical Sobolev spaces in $${\mathbb R}^d$$ with integrability $$1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d645bde8b0c98d8eee3e13171ec47c9b
https://doi.org/10.1007/s00041-017-9583-1
https://doi.org/10.1007/s00041-017-9583-1
Publikováno v:
Analysis Mathematica. 43:267-278
We give an alternative proof of recent results by the authors on uniform boundedness of dyadic averaging operators in (quasi-)Banach spaces of Hardy–Sobolev and Triebel–Lizorkin type. This result served as the main tool to establish Schauder basi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0b6a318e447d5d04a7ae0edb60b394a
https://doi.org/10.1007/s10476-017-0307-1
https://doi.org/10.1007/s10476-017-0307-1
Publikováno v:
Revista Matemática Complutense. 30:369-392
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2062c491a5b55d9c9397ba63f952c6a
https://doi.org/10.1007/s13163-017-0221-x
https://doi.org/10.1007/s13163-017-0221-x
Autor:
Gustavo Garrigós, Eugenio Hernández, Denka Kutzarova, Vladimir Temlyakov, Stephen J. Dilworth
Publikováno v:
Journal of Functional Analysis. 280:108885
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 [19] for dictionaries satisfying a new property introduced here. We apply these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f53fd81af04d4a3b8620c8f52f673f13
https://doi.org/10.1016/j.jfa.2020.108885
https://doi.org/10.1016/j.jfa.2020.108885
Publikováno v:
Revista Matemática Complutense
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 Dilworth et al. (Rev Mat Complut 28(2):393
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41d26c37fec9018f21b920771acaf530
http://arxiv.org/abs/1811.04268
http://arxiv.org/abs/1811.04268