X. Wu, Zh. Wu, “Volterra operator from Bergman spaces to Morrey spaces”, Eurasian Math. J., 2013, Volume 4, Number 1,Pages <nobr>135

Volterra operator from Bergman spaces to Morrey spaces

X. Wu^a, Zh. Wu^b

^a College of Sciences, Guizhou University for Nationalities, Huaxi, Guiyang, P. R. China
^b Department of Mathematics, University of Alabama, Tuscaloosa, Alabama, USA

Abstract: We characterize the boundedness of Volterra operators from Bergman spaces to Morrey spaces. Tools in the holomorphic function spaces, properties of Carleson measures and the atomic decomposition for functions in Bergman spaces are heavily employed.

Keywords and phrases: Volterra operator, Bergman spaces, Morrey spaces, Carleson measures.

MSC: Primary 47B38; Secondary 32A35

Received: 24.08.2012

Language: English