Fractional derivatives of pointwise multipliers between holomorphic spaces

Abstract

Abstract. We study the action of fractional differential type operators on the space of pointwise multipliers between holomorphic Triebel-Lizorkin spaces on the unit ball B of C n . As an application, we obtain new characterizations and examples of multipliers on Hardy-Sobolev spaces, and we improve some well-known results about the integrals operators I b and J b .