On a criterion of approximation to the identity inL p (E n ) by convolution transforms of dilation type

1982 ◽  
Vol 8 (3) ◽  
pp. 233-238
Author(s):  
V. D. Stepanov
Keyword(s):  
Approximation To The Identity

scholarly journals New interpolation theorems related to the space BMOA on spaces of homogeneous type

2006 ◽  
Vol 74 (3) ◽  
pp. 347-358
Author(s):  
Qi-Hui Zhang ◽  
Da-Ping Ni
Keyword(s):  
Space Of Homogeneous Type ◽  
Homogeneous Type ◽  
Spaces Of Homogeneous Type ◽  
Approximation To The Identity

Let (χ, d, μ) be a space of homogeneous type in the sense of Coifman and Weiss, and BMOA(χ) be the space of BMO type associated with an “approximation to the identity” {At}t>0 and introduced by Duong and Yan. In this paper, we establish new interpolation theorems of operators related to the space BMOA(χ).

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