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Acta Math. Sin. Engl. Ser. 24(3), 373–386 (2008) 9. J. García-Cuerva, Hardy spaces and Beurling algebras. J. Lond. Math. Soc. 39, 499–513 (1989) 10. J. García-Cuerva, M.J.L. Herrero, A theory of Hardy spaces associated to the Herz spaces.