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 spaceH 1Re 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.
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First author supported in part by a grant from the National Science Foundation. Second author supported in part by a grant from the Department of Energy.
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Ferguson, S.H., Sadosky, C. Characterizations of bounded mean oscillation on the polydisk in terms of Hankel operators and Carleson measures. J. Anal. Math. 81, 239–267 (2000). https://doi.org/10.1007/BF02788991
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DOI: https://doi.org/10.1007/BF02788991