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 e...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.展开更多
基金supported by National Natural Science Foundation funds youth project 10701010the Young Teachers Program of Anhui province (2006jql042)+1 种基金Young Teachers Program of Anhui Normal Universiy(2006xqn48)supported by the Fundamental Research Funds for Central Universities
文摘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.
