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Eurasian Mathematical Journal, 2013, Volume 4, Number 1, Pages 135–144 (Mi emj119)  
Volterra operator from Bergman spaces to Morrey spaces

X. Wua, Zh. Wub

a College of Sciences, Guizhou University for Nationalities, Huaxi, Guiyang, P. R. China
b Department of Mathematics, University of Alabama, Tuscaloosa, Alabama, USA
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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.
Received: 24.08.2012
Bibliographic databases:
Document Type: Article
MSC: Primary 47B38; Secondary 32A35
Language: English
Citation: X. Wu, Zh. Wu, “Volterra operator from Bergman spaces to Morrey spaces”, Eurasian Math. J., 4:1 (2013), 135–144
Citation in format AMSBIB
\Bibitem{WuWu13}
\by X.~Wu, Zh.~Wu
\paper Volterra operator from Bergman spaces to Morrey spaces
\jour Eurasian Math. J.
\yr 2013
\vol 4
\issue 1
\pages 135--144
\mathnet{http://mi.mathnet.ru/emj119}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3118896}
\zmath{https://zbmath.org/?q=an:1275.47074}
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