ON THE MAJORANT PROPERTIES IN {L^p}(G)

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概要

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• We extend the Hardy-Littlewood duality theorem to any locally compact abelian group G, namely, if {L^q}(G)(2 < q < ∞ ) has the upper majorant property, then {L^q}(G) has the lower majorant property, {p<SUP> - 1</SUP>} + {q<SUP> - 1</SUP>} = 1. This settles the question of exactly which {L^p}(G) has the lower majorant property.

• 東北大学大学院理学研究科数学専攻の論文

著者

• LEE E.

  UNIVERSITY OF NORTH FLORIDA

• SUNOUCHI GEN-ICHIRÔ

  TAMAGAWA UNIVERSITY

関連論文

• ON THE MAJORANT PROPERTIES IN {L^p}(G)

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