Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series

Released on by Sagun Chanillo
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  • Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series Book Detail

  • Author : Sagun Chanillo
  • Release Date : 1993
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 105
  • ISBN 13 : 0821825488
  • File Size : 26,26 MB
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Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series by Sagun Chanillo PDF Summary

Book Description: This work completely characterizes the behaviour of Cesaro means of any order of the Jacobi polynomials. In particular, pointwise estimates are derived for the Cesaro mean kernel. Complete answers are given for the convergence almost everywhere of partial sums of Cesaro means of functions belonging to the critical L ]p spaces. This characterization is deduced from weak type estimates for the maximal partial sum operator. The methods used are fairly general and should apply to other series of special functions.

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