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您的检索式：作者名="Sergio Favier"
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| 1 | IRREGULAR WAVELET FRAMES AND GABOR FRAMES显示文摘Given g∈L 2(R n), we consider irregular wavelet systems of the form {λ n2 jg(λ jx-kb)} j∈Z,k∈Z n, where λ j>0 and b>0. Sufficient conditions for the wavelet system to constitute a frame for L 2(R n) are given. For a class of functions g∈L 2(R n) we prove that certain growth conditions on {λ j} will lead to frames, and that some other types of sequences exclude the frame property. We also give a sufficient condition for a Gabor system {e 2πib(j,x)g(x-λ k)} j∈Z n,k∈Z to be a frame. | Ole Christensen Sergio Favier Felipe Zó | 2001 | Analysis in Theory and Applications2001，17，3： | 1 |
| 2 | Inequalities for the Extended Best Polynomial Approximation Operator in Orlicz Spaces显示文摘In this paper we pursue the study of the best approximation operator extended from L~Φ to L~φ, where φ denotes the derivative of the function Φ. We get pointwise convergence for the coefficients of the extended best approximation polynomials for a wide class of function f, closely related to the Calder′on–Zygmund class t_m^p(x) which had been introduced in 1961. We also obtain weak and strong type inequalities for a maximal operator related to the extended best polynomial approximation and a norm convergence result for the coefficients is derived. In most of these results, we have to consider Matuszewska–Orlicz indices for the function φ. | Sonia ACINAS Sergio FAVIER Felipe ZO | 2019 | Acta Mathematica Sinica,English Series2019，35，2： | 0 |
| 3 | Maximal Inequalities for the Best Approximation Operator and Simonenko Indices显示文摘In an abstract set up, we get strong type inequalities in L^(p+1) by assuming weak or extra-weak inequalities in Orlicz spaces. For some classes of functions, the number p is related to Simonenko indices. We apply the results to get strong inequalities for maximal functions associated to best Φ-approximation operators in an Orlicz space L~Φ. | Sonia Acinas Sergio Favier | 2017 | Analysis in Theory and Applications2017，33，3： | 0 |
| 4 | PERTURBATION OF WAVELET AND GABOR FRAMES显示文摘In this work two aspects of theory of frames are presented: a side necessary condition on irregular wavelet frames is obtained, another perturbation of wavelet and Gabor frames is considered. Specifically, we present the results obtained on frame stability when one disturbs the mother of wavelet frame, or the parameter of dilatation, and in Gabor frames when the generating function or the parameter of translation are perturbed. In all cases we work without demanding compactness of the support, neither on the generating function, nor on its Fourier transform. | Ivana Carrizo Sergio Favier | 2003 | Analysis in Theory and Applications2003，19，3： | 0 |
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