A maximal function for families of Hilbert transforms along homogeneous curves
Publication in refereed journal

香港中文大學研究人員
替代計量分析
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其它資訊
摘要Let H( u ) be the Hilbert transform along the parabola (t, ut2) where u∈ R. For a set U of positive numbers consider the maximal function HUf=sup{|H(u)f|:u∈U}. We obtain an (essentially) optimal result for the Lp operator norm of HU when 2 < p< ∞. The results are proved for families of Hilbert transforms along more general nonflat homogeneous curves.
著者Shaoming Guo, Andreas Seeger, Joris Roos, Po-Lam Yung
期刊名稱Mathematische Annalen
出版年份2020
月份6
卷號377
期次1-2
出版社Springer
頁次69 - 114
國際標準期刊號0025-5831
語言美式英語

上次更新時間 2020-18-09 於 00:29