Zoe Nieraeth
Published 2024-05-31Version 1
The goal of this paper is to unify the theory of weights beyond the setting of weighted Lebesgue spaces in the general setting of quasi-Banach function spaces. We prove new characterizations for the boundedness of singular integrals, and pose several conjectures and partial results related to the duality of the Hardy-Littlewood maximal operator. Furthermore, we give an overview of the theory applied to weighted variable Lebesgue and Morrey spaces.
New Multilinear Littlewood--Paley $g_λ^{*}$ Function and Commutator on weighted Lebesgue Spaces with New Weight
Symmetrization, factorization and arithmetic of quasi-Banach function spaces
Rearrangement-invariant hulls of weighted Lebesgue spaces
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