BMO SPACES ASSOCIATED TO GENERALIZED PARABOLIC SECTIONS

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 equivale...

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Veröffentlicht in:Analysis in theory & applications 2011, Vol.27 (1), p.1-9
Hauptverfasser: Qu, Meng, Wu, Xinfeng
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1672-4070
1573-8175
DOI:10.1007/s10496-011-0001-2