We show that the Lorentz space A1(w) is a Banach space if and only if the Hardy-Littlewood maximal operator M satisfies a certain weak-type estimate. We also consider the case of general measures. Finally, we study some properties of several indices associated to these spaces
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give th...
AbstractWe study the boundedness of the Hilbert transform H and the Hilbert maximal operator H∗ on w...
The thesis consists of four chapters. In the first chapter, we develop a necessary and sufficient co...
AbstractAssociated to the class of restricted weak-type weights for the Hardy operator Rp, we find a...
The main goal of this paper is to provide a characterization of the weak-type boundedness of the Har...
We characterize the weak-type boundedness of the Hilbert transform H on weighted Lorentz spaces Lamb...
[eng] The main goal of this thesis is to characterize the weak-type (resp. strong-type) boundedness...
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces $\Lambda^{p}_{u}(w)$. As a consequen...
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give th...
The main goal of this paper is to provide a characterization of the weak-type boundedness of the Har...
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces $\Lambda^{p}_{u}(w)$. As a consequen...
summary:We study normability properties of classical Lorentz spaces. Given a certain general lattice...
summary:We study normability properties of classical Lorentz spaces. Given a certain general lattice...
AbstractAssociated to the class of restricted weak-type weights for the Hardy operator Rp, we find a...
We investigate variants of the maximal operator and show their applications to study boundedness of ...
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give th...
AbstractWe study the boundedness of the Hilbert transform H and the Hilbert maximal operator H∗ on w...
The thesis consists of four chapters. In the first chapter, we develop a necessary and sufficient co...
AbstractAssociated to the class of restricted weak-type weights for the Hardy operator Rp, we find a...
The main goal of this paper is to provide a characterization of the weak-type boundedness of the Har...
We characterize the weak-type boundedness of the Hilbert transform H on weighted Lorentz spaces Lamb...
[eng] The main goal of this thesis is to characterize the weak-type (resp. strong-type) boundedness...
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces $\Lambda^{p}_{u}(w)$. As a consequen...
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give th...
The main goal of this paper is to provide a characterization of the weak-type boundedness of the Har...
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces $\Lambda^{p}_{u}(w)$. As a consequen...
summary:We study normability properties of classical Lorentz spaces. Given a certain general lattice...
summary:We study normability properties of classical Lorentz spaces. Given a certain general lattice...
AbstractAssociated to the class of restricted weak-type weights for the Hardy operator Rp, we find a...
We investigate variants of the maximal operator and show their applications to study boundedness of ...
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give th...
AbstractWe study the boundedness of the Hilbert transform H and the Hilbert maximal operator H∗ on w...
The thesis consists of four chapters. In the first chapter, we develop a necessary and sufficient co...