张传洲; 刘培德
Zhang Chuanzhou; Liu Peide
摘要: For Vilenkin-like system, the authors define a new operator H* f:=supn|Hnf|, where Hnf is the weighted average for partial sums, and prove that H* is of type (H*p(Gm), Lp(Gm)) for all 1/2 < p ≤ ∞ . As a consequence, the authors prove the operator S*f:=supn|Snf| is of type (p, p) for 1<p< ∞, where Snf is the n-partial sum.
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