Interpolating sequences for weighted Bergman spaces on strongly pseudoconvex bounded domains

Abstract

Let [Formula: see text], [Formula: see text], and [Formula: see text] be a strongly pseudoconvex bounded domain with a smooth boundary in [Formula: see text]. We will study the interpolation problem for weighted Bergman spaces [Formula: see text]. In the case, [Formula: see text], and [Formula: see text], where [Formula: see text] is the conjugate exponent of [Formula: see text] (let [Formula: see text], for [Formula: see text]), we show that a sequence in [Formula: see text], the unit ball in [Formula: see text], is interpolating for [Formula: see text] if and only if it is separated.