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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Dedicated to Professor Carlos Berenstein on his 60th birthday.
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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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DOI: https://doi.org/10.1007/0-8176-4416-4_5
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