Majorization and Domination in the Bergman Space

10.2307/2159710

Richards, Kendall C.

2018-02-27

2018-02-27

1993

Korenblum, B., & Richards, K. (January 01, 1993). Majorization and Domination in the Bergman Space. Proceedings of the American Mathematical Society, 117, 1.)

https://collections.southwestern.edu/s/suscholar/item/258

Let f and g be functions analytic on the unit disk and let I*
denote the Bergman norm. Conditions are identified under which there exists an
absolute constant c, with 0 < c < 1, such that the relationship Ig(z)I < If(z)I
(c < IZI < 1) will imply llgll < llfli -

English

Proceedings of the American Mathematical Society

Bergman space

Majorization

Article