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A note on Carleson measures in product spaces


Author: R. Fefferman
Journal: Proc. Amer. Math. Soc. 93 (1985), 509-511
MSC: Primary 32A35; Secondary 42B30
DOI: https://doi.org/10.1090/S0002-9939-1985-0774014-8
MathSciNet review: 774014
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Abstract: In this article we give a very simple proof of a basic theorem about the class BMO in the multiple parameter setting.


References [Enhancements On Off] (What's this?)

  • [1] S. Y. Chang, Carleson measure on the bi-disc, Ann. of Math. (2) 109 (1979). MR 534766 (80j:32009)
  • [2] S. Y. Chang and R. Fefferman, A continuous version of the duality of $ {H^1}$ and BMO on the bi-disc, Ann. of Math. (2) 112 (1980). MR 584078 (82a:32009)
  • [3] R. Fefferman, Functions of bounded mean oscillation on the bi-disc, Ann. of Math. (2) 110 (1979). MR 549492 (81c:32016)
  • [4] E. M. Stein, A variant of the area integral, Bull. Sci. Math. (2) 103 (1979). MR 548920 (81a:31008)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0774014-8
Keywords: Hardy spaces, duality, biharmonic
Article copyright: © Copyright 1985 American Mathematical Society

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