On the maximal operator of Walsh-Kaczmarz-Fejér means

Title:

On the maximal operator of Walsh-Kaczmarz-Fejér means

Creator:

Goginava, Ushangi and Nagy, Károly

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6a016529-b179-4e52-a155-3e0c55debf51
uuid:6a016529-b179-4e52-a155-3e0c55debf51

Subject:

Walsh-Kaczmarz system, Fejér means, and maximal operator

Type:

model:article and TEXT

Format:

bez média and svazek

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 $L_{1/2}( G).$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

673-686

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:3

Harvested from:

CDK

Metadata only:

false