On a converse inequality for maximal functions in Orlicz spaces
نویسندگان
چکیده
منابع مشابه
An inequality in Orlicz function spaces with Orlicz norm
We use Simonenko quantitative indices of an N -function Φ to estimate two parameters qΦ and QΦ in Orlicz function spaces L [0,∞) with Orlicz norm, and get the following inequality: BΦ BΦ−1 ≤ qΦ ≤ QΦ ≤ AΦ Aφ−1 , where AΦ and BΦ are Simonenko indices. A similar inequality is obtained in L[0, 1] with Orlicz norm.
متن کاملSharp Marchaud and Converse Inequalities in Orlicz Spaces
For Lp spaces on Td, Rd and Sd−1 sharp versions of the classical Marchaud inequality are known. These results are extended here to Orlicz spaces (on Td, Rd and Sd−1) for which M(u1/q) is convex for some q, 1 < q ≤ 2, where M(u) is the Orlicz function. Sharp converse inequalities for such spaces are deduced.
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In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.
متن کاملMaximal Inequalities of Kahane-Khintchine’s Type in Orlicz Spaces
Several maximal inequalities of Kahane-Khintchine’s type in certain Orlicz spaces are proved. The method relies upon Lévy’s inequality and the technique established in [14] which is obtained by Haagerup-Young-Stechkin’s best possible constants in the classical Khintchine inequalities. Moreover by using Donsker’s invariance principle it is shown that the numerical constant in the inequality dedu...
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in this paper we introduce some new double sequence spaces using the orlicz function andexamine some properties of the resulting sequence spaces.
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1996
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-118-1-1-10