Interpolation theorem on Lorentz spaces over weighted measure spaces
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
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...
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V J o v J t f(y) ) " ) 7 V J o ~ ) • Third, previously open questions concerning the Marcinkiewicz Theorem are settled by showing our result is best possible. Consider complex-valued, measurable functions ƒ defined on a measure space (ikf, m). The distribution function of ƒ is defined by (2) X(y) = X/GO =m{xeM:\ ƒ(*) | > y}, y > 0. X(y) is nonincreasing and continuous from the right. The noninc...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2006
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-06-08395-x