Almost everywhere convergence of the gradients of solutions to elliptic equations in Orlicz spaces and application

1997 ◽  
Vol 28 (11) ◽  
pp. 1769-1784 ◽  
Author(s):  
A. Benkirane ◽  
A. Elmahi
2015 ◽  
Vol 58 (3) ◽  
pp. 507-518
Author(s):  
Ming-Hsiu Hsu ◽  
Ming-Yi Lee

AbstractIn this paper we define a space VMO𝒫 associated with a family 𝒫 of parabolic sections and show that the dual of VMO𝒫 is the Hardy space . As an application, we prove that almost everywhere convergence of a bounded sequence in implies weak* convergence


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