Matrix weights and a maximal function with exponent 3/2

We build an example of a simple sparse operator for which its norm with scalar A 2 weight has linear estimate in [w]A2 ${\left[w\right]}_{{A}_{2}}$ , but whose norm in matrix setting grows at least as [W]A23/2 ${\left[W\right]}_{{\mathbf{A}}_{2}}^{3/2}$ for specially constructed weights from A 2. W...

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Bibliographic Details
Main Authors: Treil Sergei, Volberg Alexander
Format: Article
Language:English
Published: De Gruyter 2025-02-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2023-0170
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