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

Voir la notice de l'article provenant de la source Cambridge University Press

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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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-005-2/}
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