Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces
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چکیده
منابع مشابه
Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λu(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 Λu(w).
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2013
ISSN: 0024-6107
DOI: 10.1112/jlms/jdt063