Journal d’Analyse Mathématique

, Volume 81, Issue 1, pp 239–267

Characterizations of bounded mean oscillation on the polydisk in terms of Hankel operators and Carleson measures

  • Sarah H. Ferguson
  • Cora Sadosky
Article

DOI: 10.1007/BF02788991

Cite this article as:
Ferguson, S.H. & Sadosky, C. J. Anal. Math. (2000) 81: 239. doi:10.1007/BF02788991

Abstract

A scale of BMO spaces appears naturally in product spaces corresponding to the different, yet equivalent, characterizations of the class of functions of bounded mean oscillation in one variable. S.-Y. Chang and R. Fefferman characterized product BMO, the dual of the (real) Hardy spaceHRe1 on product domains, in terms of Carleson measures. Here we describe two other BMO spaces, one contained in and the other containing product BMO, in terms of Carleson measures and Hankel operators. Both of these spaces play a significant role in harmonic analysis of the polydisk and in multivariable operator theory.

Copyright information

© Hebrew University of Jerusalem 2000

Authors and Affiliations

  • Sarah H. Ferguson
    • 1
  • Cora Sadosky
    • 2
  1. 1.Department of MathematicsWayne State UniversityDetroitUSA
  2. 2.Department of MathematicsHoward UniversityWashington DCUSA

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