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A Div-Curl Lemma in BMO on a Domain

  • Conference paper
Book cover Harmonic Analysis, Signal Processing, and Complexity

Part of the book series: Progress in Mathematics ((PM,volume 238))

Abstract

Let Ω ⊂ R n be a Lipschitz domain. There are two BMO spaces, BMO r (Ω) and BMO z (Ω), which can be defined on Ω. The first part of this paper is a survey of some results for functions in these two spaces. The second part contains a div-curl-type lemma for BMO r (Ω) and BMO z (Ω).

The research of the first author was partially supported by a William Fulbright Research Grant and U. S. Department of Defense Research Grant DAAH-0496-10301. The research of the second author was partially supported by the Natural Sciences and Engineering Research Council of Canada. The research of the third author was partially supported by U. S. Department of Energy grant DE-FG02-ER25341.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Georgetown University, Washington, DC, 20057, USA

    Der-Chen Chang

  2. Department of Mathematics and Statistics, Concordia University, Montreal, QC, H3G-1M8, Canada

    Galia Dafni

  3. Department of Mathematics, Howard University, Washington, DC, 20059, USA

    Cora Sadosky

Authors
  1. Der-Chen Chang
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  2. Galia Dafni
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  3. Cora Sadosky
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, I-20133, Milano, Italy

    Irene Sabadini

  2. Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, USA

    Daniele C. Struppa  & David F. Walnut  & 

Additional information

Dedicated to Professor Carlos Berenstein on his 60th birthday.

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© 2005 Birkhäuser Boston

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Chang, DC., Dafni, G., Sadosky, C. (2005). A Div-Curl Lemma in BMO on a Domain. In: Sabadini, I., Struppa, D.C., Walnut, D.F. (eds) Harmonic Analysis, Signal Processing, and Complexity. Progress in Mathematics, vol 238. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4416-4_5

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