Abstract
In this paper some formulae on the relationship between Hardy and Hardy–Orlicz spaces are presented, and multiplication operators on Hardy–Orlicz spaces are discussed.
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Leśniewicz, R.: On Hardy–Orlicz Spaces, I. Comment. Math., XV, 3–56 (1971)
Deeb, W., Marzuq, M.: H(φ) spaces. Canad. Math. Bull., 29(3), 295–301 (1986)
Leśniewicz, R.: On linear functionals in Hardy–Orlicz spaces, I. Studia Math., T., XLVI, 53–77 (1973)
Leśniewicz, R.: On linear functionals in Hardy–Orlicz spaces, II. Studia Math., T., XLVI, 259–295 (1973)
Leśniewicz, R.: On linear functionals in Hardy–Orlicz spaces, III. Studia Math., T., XLVII, 261–284 (1973)
Zhang, J. Z.: A note on Hardy–Orlicz spaces. Canad. Math. Bull., 33(1), 29–33 (1990)
Khalil, R.: Inclusions of Hardy–Orlicz spaces. International Journal of Mathematics and Mathematical Sciences, 9(3), 429–434 (1986)
Deeb, W., Khalil, R., Marzuq, M.: Isometric multiplications of Hardy–Orlicz spaces. Bull Austral. Math. Soc., 34, 177–189 (1986)
Krasnoselskii, M. A., Rutickii, Ya. B.: Convex functions and Orlicz spaces, Noordhoff Press, Groningen, 1961
Chen, S.: Geometry of Orlicz Spaces, Dissertationes Mathematicae, Polish Scientific Pulisher, Warszawa, 1996
Duren, P. L.: Theory of H p Spaces, Academic Press, New York, 1970
Liu, L. F., Cao, G. F., Wang, X. F.: Compositon operators on Hardy–Orlicz spaces. Acta Math. Scientia, 25(1), 105–111 (2005)
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Lu, Q., Cao, G.F. & Liu, L.F. Hardy–Orlicz Spaces and Their Multiplication Operators. Acta Math Sinica 21, 593–598 (2005). https://doi.org/10.1007/s10114-005-0516-y
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DOI: https://doi.org/10.1007/s10114-005-0516-y