1. On the maximal operator of Walsh-Kaczmarz-Fejér means
- Creator:
- Goginava, Ushangi and Nagy, Károly
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Walsh-Kaczmarz system, Fejér means, and maximal operator
- Language:
- English
- Description:
- In this paper we prove that the maximal operator $$\tilde {\sigma }^{\kappa ,*}f:=\sup _{n\in {\mathbb P}}\frac {|{\sigma }_n^\kappa f|}{\log ^{2}(n+1)},$$ where ${\sigma }_n^\kappa f$ is the $n$-th Fejér mean of the Walsh-Kaczmarz-Fourier series, is bounded from the Hardy space $H_{1/2}( G) $ to the space $L_{1/2}( G).$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public