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一类恒等逼近

A Class of Approximate Identities
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摘要 针对文献[1]在R上引进的一类恒等逼近,研究了它在R上对应物的性质,并且对一类重要的特例(本文称为p型恒等逼近)进行了分析. The properties of analogous subjects of a class of approximate identities, which are introduced in the paper [1] was studied, and an important class of examples called as approximate identity of p type was analyzed.
出处 《天津师范大学学报(自然科学版)》 CAS 2006年第3期50-52,共3页 Journal of Tianjin Normal University:Natural Science Edition
关键词 卷积算子 恒等逼近 极大算子 弱(p p)型 convolution operator approximate identity maximal operator weak type (p, p)
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参考文献5

  • 1Parthena Avramidou.Convolution operators induced by approximate identities and pointwise convergence in Lp (R) spaces[J].Proc Amer Math Soc,2004,133:175-184.
  • 2Nagel A,Stein E M.On certain maximal functions and approach regions[J].Advance in Mathematics,1984,54:83-106.
  • 3Bellow A.Perturbation of a sequence[J].Advance in Mathematics,1989,78:131-139.
  • 4Reinhold-Larsson K.Discrepancy of behavior of perturbed sequences in Lp spaces[J].Proc Amer Math Soc,1994,120:865-874.
  • 5Stein E.Singular integral and differentiability properties of functions[M].Princeton:Princeton University Press,1970.

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