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

Meng Qu & Xinfeng Wu

DOI: 10.1007/s10496-011-0001-2

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-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 $q \geq 1.$

  • Keywords

$BMO^q_{\mathcal{P}}$, generalized parabolic section, John-Nirenberg’s inequality.

  • AMS Subject Headings

42B20, 42B30

  • Copyright

COPYRIGHT: © Global Science Press

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@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-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 $q \geq 1.$

}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0001-2}, url = {http://global-sci.org/intro/article_detail/ata/4573.html} }
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 -

Parabolic sections were introduced by Huang[1] 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 $q \geq 1.$

Meng Qu and Xinfeng Wu. (2011). BMO Spaces Associated to Generalized Parabolic Sections. Analysis in Theory and Applications. 27 (1). 1-9. doi:10.1007/s10496-011-0001-2
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