Summary: Some applications of subharmonicity
N.A.
07
Theorem 1 (Littlewood's subordination principle.) 1
Suppose that :
D D is holomorphic and that (0) = 0. Let G be continuous and subhar-
monic in D and g = G . Then, if 0 r < 1,

-
g(rei
)
d
2


-
G(rei
)
d
2

Source: Arcozzi, Nicola - Dipartimento di Matematica, Università di Bologna

Collections: Mathematics