Weak Boundedness of Fourier Operators and Conjugate Transforms
Received:December 21, 1983  
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Pan Wenxi Jinan University 
Xie Huiman Jinan University 
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Abstract:
      Let Sn(dF, x) be the partial sums of the Fou ier-Stieltjes F(dF) with F(x)∈ BV[ 0.2π].We prove that there exists an absolute constant A such that N1(Sn((dF, x))v, where N1(g) =(?)ames [x|g(x)>α].In particular N1(Sn(f, x))1 for f∈L1(which is called uniform weak boundedness of operators Sn). The same statement is asserted concerning Fourier-Stieltjes single integrals
Citation:
DOI:10.3770/j.issn:1000-341X.1987.02.010
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