15 citations · 62 across the 22 of their papers we have counts for
Showing 2024 · math.CAShow all
3 papers · 2 filters
math.CA2024★ 15 cited
Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces
Elona Agora, Jorge Antezana, María J. Carro +1
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces . As a consequence, we give the complete characterization of the strong boundedness of on these spaces…
math.CA2024★ 11 cited
Boundedness of the Hilbert transform on weighted Lorentz spaces
Elona Agora, María J. Carro, Javier Soria
We study the boundedness of the Hilbert transform and the Hilbert maximal operator on weighted Lorentz spaces . We start by giving several necessary conditions…
math.CA2024★ 8 cited
Characterization of the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces
Elona Agora, María J. Carro, Javier Soria
We characterize the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces , with , in terms of some geometric conditions on the weights a…