Vilenkin-Like系统的不等式

Inequalities Relative to Vilenkin-Like System

中文关键词:  Hardy空间  Vilenkin-Like系统  强收敛.

英文关键词:Hardy space  Vilenkin-Like systems  strong convergence.

中文摘要:

      对有界Vilenkin-Like系统,不等式成立$$(*)\quad (\sum_{k=1}^\inftyk^{p-2}|\hat{f}(k)|^p)^{1/p}\leq C\|f\|_{H_p}\quad (0

英文摘要:

      For bounded Vilenkin-Like system, the inequality is also true:$$(\sum_{k=1}^\infty k^{p-2}|\hat{f}(k)|^p)^{1/p}\leq C\|f\|_{H_p},\quad 0