Essential norm of Riemann–Stieltjes operator on weighted Bergman spaces with doubling weights

Abstract

Let ω be a doubling weight and

. The essential norm of Riemann–Stieltjes operator

T g {T_{g}}

from the weighted Bergman space

A ω p {A^{p}_{\omega}}

to

A ω q {A^{q}_{\omega}}

was investigated in the unit ball of

ℂ n {\mathbb{C}^{n}}

.