6 papers · 1 filter
Weak Type Boundedness of the Hardy Littlewood Maximal Operator on Weighted Lorentz Spaces
Elona Agora, Jorge Antezana, MarÃa J. Carro
The main goal of this paper is to provide a complete characterization of the weak-type boundedness of the Hardy-Littlewood maximal operator, , on weighted Lorentz spaces $Î^p_u…
Revisiting Yano and Zygmund extrapolation theory
Elona Agora, Jorge Antezana, Sergi Baena-Miret +1
We prove a pointwise estimate for the decreasing rearrangement of , where is any sublinear operator satisfying the weak-type boundedness $$ T:L^{p,1}(μ) \to L^{p,\infty}(΅
From weak type weighted inequality to pointwise estimate for the decreasing rearrangement
Elona Agora, Jorge Antezana, Sergi Baena-Miret +1
We shall prove pointwise estimates for the decreasing rearrangement of , where covers a wide range of interesting operators in Harmonic Analysis such as operators satisfyin…
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 . As a consequence, we give the complete characterization of the strong boundedness of on these space…
Boundedness of the Hilbert transform on weighted Lorentz spaces
Elona Agora, MarÃa 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…
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 on weighted Lorentz spaces , with , in terms of some geometric conditions on the weights …