Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Antezana, Jorge"'
Publikováno v:
Fourier Anal. Appl. (2016)
The main goal of this paper is to provide a complete characterization of the weak-type boundedness of the Hardy-Littlewood maximal operator, $M$, on weighted Lorentz spaces $\Lambda^p_u(w)$, whenever $p>1$. This solves a problem left open in \cite{cr
Externí odkaz:
http://arxiv.org/abs/2402.05464
Publikováno v:
J. Fourier Anal. Appl. (2022)
We prove a pointwise estimate for the decreasing rearrangement of $Tf$, where $T$ is any sublinear operator satisfying the weak-type boundedness $$ T:L^{p,1}(\mu) \to L^{p,\infty}(\nu), \quad \forall p: 1
Externí odkaz:
http://arxiv.org/abs/2402.05324
Publikováno v:
J. Geom. Anal. (2022)
We shall prove pointwise estimates for the decreasing rearrangement of $Tf$, where $T$ covers a wide range of interesting operators in Harmonic Analysis such as operators satisfying a Fefferman-Stein inequality, the Bochner-Riesz operator, rough oper
Externí odkaz:
http://arxiv.org/abs/2402.05323
Publikováno v:
J. London Math. Soc. (2014)
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces $\Lambda^p_u(w)$. As a consequence, we give the complete characterization of the strong boundedness of $H$ on these spaces in terms of some geometric conditions on the weights $u$ and $w
Externí odkaz:
http://arxiv.org/abs/2402.05304
We consider multi-variate signals spanned by the integer shifts of a set of generating functions with distinct frequency profiles and the problem of reconstructing them from samples taken on a random periodic set. We show that such a sampling strateg
Externí odkaz:
http://arxiv.org/abs/2305.15261
Autor:
Antezana, Jorge, Ombrosi, Sheldy
In this work we develop a weight theory in the setting of hyperbolic spaces. Our starting point is a variant of the well-known endpoint Fefferman-Stein inequality for the centered Hardy-Littlewood maximal function. This inequality generalizes, in the
Externí odkaz:
http://arxiv.org/abs/2305.14473
Inspired by the work of Hedenmalm, Lindqvist and Seip, we consider different properties of dilations systems of a fixed function $\varphi \in L^2(0,1)$. More precisely, we study when the system $\{\varphi(nx)\}_n$ is a Bessel sequence, a Riesz sequen
Externí odkaz:
http://arxiv.org/abs/2110.07659
Publikováno v:
Comput. Methods Funct. Theory 21 (2021), no. 4, 831-849
Let $\Omega$ be a convex open set in $\mathbb R^n$ and let $\Lambda_k$ be a finite subset of $\Omega$. We find necessary geometric conditions for $\Lambda_k$ to be interpolating for the space of multivariate polynomials of degree at most $k$. Our res
Externí odkaz:
http://arxiv.org/abs/2101.08064
Model subspaces techniques to study Fourier expansions in L^2 spaces associated to singular measures
Let $\mu$ be a probability measure on $\mathbb{T}$ that is singular with respect to the Haar measure. In this paper we study Fourier expansions in $L^2(\mathbb{T},\mu)$ using techniques from the theory of model subspaces of the Hardy space. Since the
Externí odkaz:
http://arxiv.org/abs/1907.08876
Consider the Lie group of n x n complex unitary matrices U(n) endowed with the bi-invariant Finsler metric given by the spectral norm, ||X||_U = ||U*X||_{sp} = ||X||_{sp} for any X tangent to a unitary operator U. Given two points in U(n), in general
Externí odkaz:
http://arxiv.org/abs/1907.03368