Necessary and sufficient conditions for the $L^1$-convergence of double Fourier series

Czechoslovak Mathematical Journal

Péter Kórus¹ 

关键词: double Fourier series;    $L^1$-convergence;    logarithm bound variation double sequences;   

DOI  :  10.21136/CMJ.2018.0043-17

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  We extend the results of paper of F. Móricz (2010), where necessary conditions were given for the $L^1$-convergence of double Fourier series. We also give necessary and sufficient conditions for the $L^1$-convergence under appropriate assumptions.

【 授权许可】

Unknown