scholarly journals DISCREPANCY OF SECOND ORDER DIGITAL SEQUENCES IN FUNCTION SPACES WITH DOMINATING MIXED SMOOTHNESS

Mathematika ◽  
2017 ◽  
Vol 63 (3) ◽  
pp. 863-894 ◽  
Author(s):  
Josef Dick ◽  
Aicke Hinrichs ◽  
Lev Markhasin ◽  
Friedrich Pillichshammer
Keyword(s):  
Function Spaces ◽  
Second Order ◽  
Dominating Mixed Smoothness ◽  
Mixed Smoothness

The Jawerth–Franke Embedding of Spaces with Dominating Mixed Smoothness

2009 ◽  
Vol 16 (4) ◽  
pp. 667-682
Author(s):  
Markus Hansen ◽  
Jan Vybíral
Keyword(s):  
Function Spaces ◽  
Dominating Mixed Smoothness ◽  
Mixed Smoothness

Abstract We give a proof of the Jawerth embedding for function spaces with dominating mixed smoothness of Besov and Triebel–Lizorkin type where 0 < 𝑝0 < 𝑝1 ≤ ∞ and 0 < 𝑞0,𝑞1 ≤ ∞ and with If 𝑝1 < ∞, we prove also the Franke embedding Our main tools are discretization by a wavelet isomorphism and multivariate rearrangements.

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