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

Abstract

Abstract Let ω be a doubling weight and 0 < p ≤ q < ∞ {0<p\leq q<\infty} . 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}} .