Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/124948
Title: | Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces |
Author: | Agora, Elona Antezana, Jorge Carro Rossell, María Jesús Soria de Diego, F. Javier |
Keywords: | Desigualtats (Matemàtica) Anàlisi harmònica Inequalities (Mathematics) Harmonic analysis |
Issue Date: | 15-Oct-2013 |
Publisher: | London Mathematical Society |
Abstract: | We prove the Lorentz-Shimogaki and Boyd theorems for the spaces $\Lambda^{p}_{u}(w)$. As a consequence, we give the complete characterization of the strong boundedness of $H$ on these spaces in terms of some geometric conditions on the weights $u$ and $w$, whenever $p > 1$. For these values of $p$, we also give the complete solution of the weak-type boundedness of the Hardy-Littlewood operator on $\Lambda^{p}_{u}(w)$. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1112/jlms/jdt063 |
It is part of: | Journal of the London Mathematical Society-Second Series, 2013, vol. 89, num. 2, p. 321-336 |
URI: | http://hdl.handle.net/2445/124948 |
Related resource: | https://doi.org/10.1112/jlms/jdt063 |
ISSN: | 0024-6107 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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627554.pdf | 295.79 kB | Adobe PDF | View/Open |
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