BMO SPACES ASSOCIATED TO GENERALIZED PARABOLIC SECTIONS  

BMO SPACES ASSOCIATED TO GENERALIZED PARABOLIC SECTIONS

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作  者:Meng Qu Xinfeng Wu 

机构地区:[1](Anhui Normal University, China) [2](China University of Mining and Technology, China)

出  处:《Analysis in Theory and Applications》2011年第1期1-9,共9页分析理论与应用(英文刊)

基  金:supported by National Natural Science Foundation funds youth project 10701010;the Young Teachers Program of Anhui province (2006jql042);Young Teachers Program of Anhui Normal Universiy(2006xqn48);supported by the Fundamental Research Funds for Central Universities

摘  要:Parabolic sections were introduced by Huang[1]to study the parabolic Monge Ampere equation. In this note, we introduce the generalized parabolic sections P and define BMO^qp spaces related to these sections. We then establish the John-Nirenberg type inequality and verify that all BMO^qp are equivalent for q ≥ 1.Parabolic sections were introduced by Huang[1]to study the parabolic Monge Ampere equation. In this note, we introduce the generalized parabolic sections P and define BMO^qp spaces related to these sections. We then establish the John-Nirenberg type inequality and verify that all BMO^qp are equivalent for q ≥ 1.

关 键 词:BMO^qp generahzed parabohc sectzon John- trenberg's inequahty 

分 类 号:O177.6[理学—数学] O175.26[理学—基础数学]

 

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