Javier Soria

collaborators

3 papers

math.CA2024

Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces

Elona Agora, Jorge Antezana, MarÃa J. Carro +1

We prove the Lorentz-Shimogaki and Boyd theorems for the spaces $I^_{u}^{p} (w)$ . As a consequence, we give the complete characterization of the strong boundedness of $H$ on these space…

math.CA2024

Boundedness of the Hilbert transform on weighted Lorentz spaces

Elona Agora, MarÃa J. Carro, Javier Soria

We study the boundedness of the Hilbert transform $H$ and the Hilbert maximal operator $H^{*}$ on weighted Lorentz spaces $I^_{u}^{p} (w)$ . We start by giving several necessary conditions…

math.CA2024

Characterization of the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces

Elona Agora, MarÃa J. Carro, Javier Soria

We characterize the weak-type boundedness of the Hilbert transform $H$ on weighted Lorentz spaces $I^_{u}^{p} (w)$ , with $p > 0$ , in terms of some geometric conditions on the weights $u$ …