Volume 27, Issue 1
BMO Spaces Associated to Generalized Parabolic Sections

Anal. Theory Appl., 27 (2011), pp. 1-9.

Published online: 2011-01

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• Abstract

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$BMO^q_P$ spaces related to these sections. We then establish the John-Nirenberg type inequalityand verify that all $BMO^q_P$ are equivalent for $q \geq 1.$

• Keywords

$BMO^q_P$ generalized parabolic section John-Nirenberg’s inequality

42B20 42B30

@Article{ATA-27-1, author = {Meng Qu and Xinfeng Wu}, title = {BMO Spaces Associated to Generalized Parabolic Sections}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {1}, pages = {1--9}, abstract = {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$BMO^q_P$ spaces related to these sections. We then establish the John-Nirenberg type inequalityand verify that all $BMO^q_P$ are equivalent for $q \geq 1.$}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0001-2}, url = {http://global-sci.org/intro/article_detail/ata/4573.html} }