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BMO spaces associated to generalized parabolic sections
Authors:Meng Qu  Xinfeng Wu
Institution:Meng Qu(Anhui Normal University,China) Xinfeng Wu(China University of Mining and Technology,China)
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.
Keywords:BMOqP  generalized parabolic section  John-Nirenberg’s inequality
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