On the weak behaviour of partial sums of Legendre series

Author:

Chanillo S.

Abstract

We show that the partial sum operator associated with the Legendre series is restricted weak type, but not weak type, on the L p {L^p} spaces when p = 4 p = 4 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

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1. Fourier–Jacobi expansions in Morrey spaces;Journal of Mathematical Analysis and Applications;2014-07

2. Weighted norm inequalities for polynomial expansions associated to some measures with mass points;Constructive Approximation;1996-09

3. Expansions in Legendre polynomials and Lagrange interpolation;Acta Mathematica Hungarica;1993-09

4. Weak behaviour of Fourier-Jacobi series;Journal of Approximation Theory;1990-05

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