Uniqueness of Almost Everywhere Convergent Vilenkin Series

Canadian mathematical bulletin

关键词: Hardy submodules;   

DOI  :  10.4153/CMB-2004-047-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

D. J. Grubb [3] has shown that uniqueness holds, under amild growth condition, for Vilenkin series which converge almosteverywhere to zero. We show that, under even less restrictivegrowth conditions, one can replace the limit function 0 by anarbitrary $fin L^q$, when $q>1$.

【 授权许可】

Unknown