Geodesic
VMO Space Associated with Parabolic Sections and its Application
Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 507-518

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In this paper we define a space $VM{{O}_{P}}$ associated with a family $P$ of parabolic sections and show that the dual of $VM{{O}_{P}}$ is the Hardy space $H_{P}^{1}$ . As an application, we prove that almost everywhere convergence of a bounded sequence in $H_{P}^{1}$ implies weak $^{\star }$ convergence
DOI : 10.4153/CMB-2015-005-2
Mots-clés : 42B30, Monge-Ampère equation, parabolic section, Hardy space, BMO, VMO 
Hsu, Ming-Hsiu; Lee, Ming-Yi. VMO Space Associated with Parabolic Sections and its Application. Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 507-518. doi: 10.4153/CMB-2015-005-2
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     author = {Hsu, Ming-Hsiu and Lee, Ming-Yi},
     title = {VMO {Space} {Associated} with {Parabolic} {Sections} and its {Application}},
     journal = {Canadian mathematical bulletin},
     pages = {507--518},
     year = {2015},
     volume = {58},
     number = {3},
     doi = {10.4153/CMB-2015-005-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-005-2/}
}
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