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Abstract. The aim of this paper is to prove a duality relation between strong summability and Sidon type inequalities. We give examples which show how some fundamental results in strong summability correspond, through this duality, to Sidon type inequalities, and conversely.
AMS Subject Classification
(1991): 40F05, 42A05, 41A25, 42A20
Keyword(s):
strong summability,
strong approximation,
Sidon type inequalities,
dyadic Hardy space,
Orlicz spaces
Received October 12, 1994. (Registered under 5632/2009.)
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