References
A. Aleman and A. Siskakis,An integral operator on H p, Complex Variables Theory Appl.28 (1995), 149–158.
A. Baernstein, II,Analytic functions of bounded mean oscillation, inAspects of Contemporary Analysis, Proc. of an Instructional Conference organized by the London Math. Soc. at the Univ. of Durham (D. A. Brannan and J. G. Clunie, eds.), Academic Press, New York, 1980, pp. 3–36.
R. R. Coifman and Y. Meyer,Au delá des opérateurs pseudo-différentiels, Astérisque57 (1978), 1–184.
P. Duren,Theory of H p Spaces, Academic Press, New York, 1970.
Miao Jie,The Cesaro operator is bounded on H p for 0<p<1, Proc. Amer. Math. Soc.116 (1992), 1077–1079.
C. Pommerenke,Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation, Comment. Math. Helv.52 (1978), 591–602.
A. G. Siskakis,The Cesaro operator is bounded on H 1, Proc. Amer. Math. Soc.110 (1990), 461–462.
A. Zygmud,Trigonometric Series, 2nd edition, Vol. 2, Cambridge University Press, 1959.
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Aleman, A., Cima, J.A. An integral operator onH p and Hardy’s inequality. J. Anal. Math. 85, 157–176 (2001). https://doi.org/10.1007/BF02788078
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DOI: https://doi.org/10.1007/BF02788078