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- W4381512711 abstract "Necessary and sufficient conditions are given for the boundedness of Hausdorff operators on the generalized Hardy spaces H E p ( G ) $H^p_E(G)$ , real Hardy space H R 1 ( G ) $H^1_{mathbb {R}}(G)$ , BMO ( G ) $text{BMO}(G)$ , and BMOA ( G ) $text{BMOA}(G)$ for compact Abelian group G. Surprisingly, these conditions turned out to be the same for all groups and spaces under consideration. Applications to Dirichlet series are given. The case of the space of continuous functions on G and examples are also considered." @default.
- W4381512711 created "2023-06-22" @default.
- W4381512711 creator A5060542840 @default.
- W4381512711 date "2023-06-20" @default.
- W4381512711 modified "2023-10-17" @default.
- W4381512711 title "Hausdorff operators on compact abelian groups" @default.
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- W4381512711 doi "https://doi.org/10.1002/mana.202200068" @default.
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