Zobrazeno 1 - 10
of 786
pro vyhledávání: '"Alonso, José M."'
We prove endpoint and sparse-like bounds for Bergman projectors on nonhomogeneous, radial trees $X$ that model manifolds with possibly unbounded geometry. The natural Bergman measures on $X$ may fail to be doubling, and even locally doubling, with re
Externí odkaz:
http://arxiv.org/abs/2410.23047
We study $L^p(\mu)$ estimates for the commutator $[H,b]$, where the operator $H$ is a dyadic model of the classical Hilbert transform introduced in \cite{arXiv:2012.10201,arXiv:2212.00090} and is adapted to a non-doubling Borel measure $\mu$ satisfyi
Externí odkaz:
http://arxiv.org/abs/2409.01155
We study sparse domination for operators defined with respect to an atomic filtration on a space equipped with a general measure $\mu$. In the case of Haar shifts, $L^p$-boundedness is known to require a weak regularity condition, which we prove to b
Externí odkaz:
http://arxiv.org/abs/2309.13943
In the line of previous work by Naor, we establish new forms of metric $\mathrm{X}_p$ inequalities in group algebras under very general assumptions. Our results' applicability goes beyond the previously known setting in two directions. In first place
Externí odkaz:
http://arxiv.org/abs/2209.05991
Publikováno v:
Analysis & PDE 17 (2024) 2561-2584
We investigate $L_p$-estimates for balanced averages of Fourier truncations in group algebras, in terms of differential operators acting on them. Our results extend a fundamental inequality of Naor for the hypercube (with profound consequences in met
Externí odkaz:
http://arxiv.org/abs/2209.05986
We establish regularity conditions for $L_p$-boundedness of Fourier multipliers on the group von Neumann algebras of higher rank simple Lie groups. This provides a natural H\"ormander-Mikhlin criterion in terms of Lie derivatives of the symbol and a
Externí odkaz:
http://arxiv.org/abs/2201.08740
We establish a rather unexpected and simple criterion for the boundedness of Schur multipliers $S_M$ on Schatten $p$-classes which solves a conjecture proposed by Mikael de la Salle. Given $1 < p < \infty$, a simple form our main result reads for $\m
Externí odkaz:
http://arxiv.org/abs/2201.05511
Publikováno v:
In Current Opinion in Biotechnology June 2024 87
In this paper we solve three problems in noncommutative harmonic analysis which are related to endpoint inequalities for singular integrals. In first place, we prove that an $L_2$-form of H\"ormander's kernel condition suffices for the weak type (1,1
Externí odkaz:
http://arxiv.org/abs/2105.05036
Autor:
Vega, José A., Álvarez-González, Juan Gabriel, Arellano-Pérez, Stéfano, Fernández, Cristina, Cuiñas, Pedro, Jiménez, Enrique, Fernández-Alonso, José M., Fontúrbel, Teresa, Alonso-Rego, Cecilia, Ruiz-González, Ana Daría
Publikováno v:
In Journal of Environmental Management February 2024 351