出版社:The Editorial Committee of the Interdisciplinary Information Sciences
摘要:The purpose of this note is to define and characterize different kinds of quasi-norms for a double sequence obtained by generalizing the lp-norm. In particular we focus on two weak lp-norms: successive weak lp-norm and standard weak lp-norm. We give upper and lower bound of the ratio of a successive weak lp-norm to a standard weak lp-norm for any double sequence.