In this article, we are interested in the theorem which proved by Korenblum, O'neil, Richards, and Zhu. They prove the Korenblum conjecture when either f or g is a monomial.
So we discuss some special cases from above.
[4] B. Korenblum, R. O'neil, K. Richards, and K. Zhu, Totally monotonefunctions with applications to the Bergman space, Trans. Amer. Math.Soc. 337(1993), 795-806.