Bilinear Multipliers of Weighted Lorentz Spaces and Variable Exponent Lorentz Spaces
نویسندگان
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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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولAre Generalized Lorentz “spaces” Really Spaces?
We show that the Lorentz space Λp(w) need not be a linear set for certain “non-classical” weights w. We establish necessary and sufficient conditions on p and w for this situation to occur.
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ژورنال
عنوان ژورنال: Mathematics and Statistics
سال: 2017
ISSN: 2332-2071,2332-2144
DOI: 10.13189/ms.2017.050102