Geodesic
On an F-Algebra of Holomorphic Functions
Canadian journal of mathematics, Tome 40 (1988) no. 3, pp. 718-741

Voir la notice de l'article provenant de la source Cambridge University Press

The complex maximal theorem of Hardy and Little-wood states:(Mp ). For 0 < p < ∞, there exists a positive constant Cp such that if f is holomorphic in the unit disc U of the complex plane then where The corresponding statement to the limiting case p = 0 can be stated as follows:(M 0) There exists a positive constant C 0 such that if f is holomorphic in U where log+t = max(log t, 0).The statement (M 0) is false as the following example shows. 
Kim, Hong Oh. On an F-Algebra of Holomorphic Functions. Canadian journal of mathematics, Tome 40 (1988) no. 3, pp. 718-741. doi: 10.4153/CJM-1988-031-4
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