VMO Space Associated with Parabolic Sections and its Application

Canadian mathematical bulletin

Ming-Hsiu Hsu¹  Ming-Yi Lee¹ 

[1] Department of Mathematics, National Central University, Chung-Li, 32054, Taiwan

关键词: Monge-Ampere equation;    parabolic section;    Hardy space;    BMO;    VMO;   

DOI  :  10.4153/CMB-2015-005-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we define $VMO_mathcal{P}$ space associated with a family $mathcal{P}$ of parabolic sections and show that thedual of $VMO_mathcal{P}$ is the Hardy space $H^1_mathcal{P}$.As an application, we prove that almost everywhere convergenceof a bounded sequence in $H^1_mathcal{P}$ implies weak* convergence.

【 授权许可】

Unknown