On the convergence almost everywhere of double series with respect to diagonal block-orthonormal systems

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

Givi Nadibaidze¹ 

[1] Tbilisi State University

关键词: diagonal block-orthonormal systems;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

The diagonal double block-orthonormal system is introduced. The two-dimensional generalization of Menshov-Rademacher's and V.F. Gaposhkin's theorems on the almost everywhere convergence of series with respect to block-orthonormal systems is proved.

【 授权许可】

Unknown