Dept. Math, Hokkaido Univ. EPrints Server

Factorizations Of Functions In H^p(T^n )

Preprint Series # 627
Nakazi, Takahiko Factorizations Of Functions In H^p(T^n ). (2004);

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We are interested in extremal functions in a Hardy space H^p(T^n) (1 <= p <= \infty ). For example, we study extreme points of the unit ball of H^1(T^n) and give a factorization theorem. In particular, we show that any rational function can be factorized.

Item Type:Preprint
Uncontrolled Keywords:Hardy space, polydisc, factorizatio, extreme point
ID Code:80