Revisit to a Theorem of Wogen

  • Hyungwoon Koo
  • Maofa Wang
Part of the Operator Theory: Advances and Applications book series (OT, volume 202)


In this note we provide a new proof of a theorem of Wogen on the boundedness criterion for composition operators on Hardy space H2(Un) induced by holomorphic self-maps of the unit ball Un, and then generalize it to more general inducing self-maps.


Composition operator smooth map Bergman space Hardy space Carleson measure boundedness Wogen criterion 

Mathematics Subject Classification (2000)

Primary 47B33 Secondary 30D55 46E15 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2010

Authors and Affiliations

  • Hyungwoon Koo
    • 1
  • Maofa Wang
    • 2
  1. 1.Department of MathematicsKorea UniversitySeoulKorea
  2. 2.School of Mathematics and StatisticsWuhan UniversityWuhanP.R. China

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