Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Carro, María J."'
We study existence and uniqueness of a transmission problem in simply connected domains in the plane with data in weighted Lebesgue spaces by first investigating solvability results of a related novel problem associated to a homeomorphism in the real
Externí odkaz:
http://arxiv.org/abs/2405.02728
Publikováno v:
J. Funct. Anal. 286 (2024), no. 4
We prove Hilbert transform identities involving conformal maps via the use of Rellich identity and the solution of the Neumann problem in a graph Lipschitz domain in the plane. We obtain as consequences new $L^2$-weighted estimates for the Hilbert tr
Externí odkaz:
http://arxiv.org/abs/2405.02725
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
Publikováno v:
J. Math. Anal. Appl. (2012)
We study the boundedness of the Hilbert transform $H$ and the Hilbert maximal operator $H^*$ on weighted Lorentz spaces $\Lambda^p_u(w)$. We start by giving several necessary conditions that, in particular, lead us to the complete characterization of
Externí odkaz:
http://arxiv.org/abs/2402.05299
Publikováno v:
Fourier Anal. Appl. (2013)
We characterize the weak-type boundedness of the Hilbert transform $H$ on weighted Lorentz spaces $\Lambda^p_u(w)$, with $p>0$, in terms of some geometric conditions on the weights $u$ and $w$ and the weak-type boundedness of the Hardy-Littlewood max
Externí odkaz:
http://arxiv.org/abs/2402.04877
Autor:
Baena-Miret, Sergi, Carro, María J.
Publikováno v:
In Journal of Functional Analysis 15 May 2023 284(10)