scholarly journals Almost Everywhere Convergence of Inverse Spherical Transforms on Noncompact Symmetric Spaces

1997 ◽  
Vol 149 (2) ◽  
pp. 277-304 ◽  
Author(s):  
C. Meaney ◽  
E. Prestini
Keyword(s):  
Symmetric Spaces ◽  
Almost Everywhere Convergence ◽  
Almost Everywhere ◽  
Spherical Transforms

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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