ON TERM BY TERM DYADIC DIFFERENTIABILITY OF WALSH—KACZMARZ SERIES

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摘要 Theaimofthispaperistoprovethefollowingtheoremconcerningthetermbytermdifferentiationthe-oremofWalsh-Kaczmarzseries.Let(ck)beadecreasingrealsequencewithck=o(1/(logk)r)γ)forsomeγ>1.Theng(x)=∞∑k=1ckκk(x),f(x)=∞∑k=1ck/kkk(x)areintegrablefunctionsandf(x)isa.e.dyadic(orButzerandWagner)differentiablewithf[1](x)=g(x)fora.e.x∈[0,1).ThefunctionκkmeansthekthWalsh-Kaczmarzfunction.
机构地区 不详
出版日期 2003年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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