Year: 2011
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 1 : pp. 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 $q \geq 1.$
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.1007/s10496-011-0001-2
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 1 : pp. 1–9
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: $BMO^q_{\mathcal{P}}$ generalized parabolic section John-Nirenberg’s inequality.
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VMO Space Associated with Parabolic Sections and its Application
Hsu, Ming-Hsiu
Lee, Ming-Yi
Canadian Mathematical Bulletin, Vol. 58 (2015), Iss. 3 P.507
https://doi.org/10.4153/CMB-2015-005-2 [Citations: 0]