Almost everywhere convergence of orthogonal series

1985 ◽  
Vol 46 (1-2) ◽  
pp. 73-80
Author(s):  
H. Kita
Keyword(s):  
Orthogonal Series ◽  
Almost Everywhere Convergence ◽  
Almost Everywhere

VMO Space Associated with Parabolic Sections and its Application

2015 ◽  
Vol 58 (3) ◽  
pp. 507-518
Author(s):  
Ming-Hsiu Hsu ◽  
Ming-Yi Lee
Keyword(s):  
Hardy Space ◽  
Weak Convergence ◽  
Bounded Sequence ◽  
Almost Everywhere Convergence ◽  
Almost Everywhere

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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