TY - JOUR
T1 - BMO Spaces Associated to Generalized Parabolic Sections
AU - Meng Qu & Xinfeng Wu
JO - Analysis in Theory and Applications
VL - 1
SP - 1
EP - 9
PY - 2011
DA - 2011/01
SN - 27
DO - http://doi.org/10.1007/s10496-011-0001-2
UR - https://global-sci.org/intro/article_detail/ata/4573.html
KW - $BMO^q_{\mathcal{P}}$, generalized parabolic section, John-Nirenberg’s inequality.
AB - <p style="text-align: justify;">Parabolic sections were introduced by Huang<sup>[1]</sup> to study the parabolic Monge-Ampère equation. In this note, we introduce the generalized parabolic sections $\mathcal{P}$ and define $BMO^q_{\mathcal{P}}$ spaces related to these sections. We then establish the John-Nirenberg type inequality and verify that all $BMO^q_{\mathcal{P}}$ are equivalent for $q \geq 1.$</p>