Hardy Type Inequalities of Fourier Coefficients and Partial Sums With Respect to Walsh-Paley System

The classical inequality of Hardy type is well known in the trigonometric as well as in the Walsh-Paley-Fourier system.Weisz has improved this result for 0<p<1. Hardy type inequality of partial sums of Walsh-Paley-Fourier series have been proved by Weisz and Simon. In my talk I will investigate some divergence results for Hardy type inequalities of Fourier coefficients and partial sums with respect to Walsh-Paley system.

Lecture files: