BMO spaces associated to generalized parabolic sections |
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Authors: | Meng Qu Xinfeng Wu |
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Institution: | Meng Qu(Anhui Normal University,China) Xinfeng Wu(China University of Mining and Technology,China) |
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Abstract: | Parabolic sections were introduced by Huang1] to study the parabolic Monge-Ampère equation. In this note, we introduce the
generalized parabolic sections P and define BMO
P
q spaces related to these sections. We then establish the John-Nirenberg type inequality and verify that all BMO
P
q are equivalent for q ≥ 1. |
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Keywords: | BMOqP generalized parabolic section John-Nirenberg’s inequality |
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