The best constant approximant operators in Lorentz spaces Gammap, w and their applications
نویسندگان
چکیده
In the present article we extend the best constant approximant operator from Lorentz spaces Γp,w to Γp−1,w for any 1 < p <∞ and w ≥ 0 a locally integrable weight function, and from Γ1,w to the space of all measurable functions L0. Then we establish several properties of the extended best constant approximant operator and finally, we prove a generalized version of the Lebesgue Differentiation Theorem in L0. c © 2010 Elsevier Inc. All rights reserved.
منابع مشابه
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This paper is concerned with the problem of finding a lower bound for certain matrix operators such as Hausdorff and Hilbert matrices on sequence spaces lp(w) and Lorentz sequence spaces d(w,p), which is recently considered in [7,8], similar to [13] considered by J. Pecaric, I. Peric and R. Roki. Also, this study is an extension of some works which are studied before in [1,2,7,8].
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 162 شماره
صفحات -
تاریخ انتشار 2010