Lp and BMO Bounds of Weighted Hardy–Littlewood Averages

✍ Scribed by J Xiao

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 78 KB
• Volume: 262
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2001.7594

✦ Synopsis

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.