Abstract
Parabolic sections were introduced by Huang[1] to study the parabolic Monge-Ampère equation. In this note, we introduce the generalized parabolic sections P and define BMOqP spaces related to these sections. We then establish the John-Nirenberg type inequality and verify that all BMOqP are equivalent for q ≥ 1.
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The first author is supported by National Natural Science Foundation funds youth project 10701010, the Young Teachers Program of Anhui province (2006jql042) and Young Teachers Program of Anhui Normal Universiy (2006xqn48). The second author is supported by the Fundamental Research Funds for Central Universities.
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Qu, M., Wu, X. BMO spaces associated to generalized parabolic sections. Anal. Theory Appl. 27, 1–9 (2011). https://doi.org/10.1007/s10496-011-0001-2
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DOI: https://doi.org/10.1007/s10496-011-0001-2