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Bounds of weighted Hardy–Cesàro operators on weighted Lebesgue and BMO spaces

✍ Scribed by Chuong, Nguyen Minh; Hung, Ha Duy

Book ID
121851051
Publisher
Taylor and Francis Group
Year
2014
Tongue
English
Weight
174 KB
Volume
25
Category
Article
ISSN
1065-2469

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Lp and BMO Bounds of Weighted Hardy–Litt
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✍ J Xiao 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 78 KB

This paper characterizes those nonnegative functions ψ defined on 0 1 for which the weighted Hardy-Littlewood average U ψ f → 1 0 f t• ψ t dt is bounded on either L p n p ∈ 1 ∞ , or BMO n . Meanwhile, the corresponding operator norms are worked out.