scholarly journals A weighted Khintchine inequality

2014 ◽  
Vol 30 (1) ◽  
pp. 237-246 ◽  
Author(s):  
Sergey Astashkin ◽  
Guillermo Curbera
Keyword(s):  
Khintchine Inequality

STABILITY OF UNCONDITIONAL SCHAUDER DECOMPOSITIONS IN SPACES

2015 ◽  
Vol 92 (3) ◽  
pp. 444-456
Author(s):  
VITALII MARCHENKO
Keyword(s):  
Banach Space ◽  
Hilbert Spaces ◽  
Mathematical Analysis ◽  
Stability Theorem ◽  
Best Constants ◽  
Khintchine Inequality ◽  
The Stability ◽  
Academy Of Sciences

We use the best constants in the Khintchine inequality to generalise a theorem of Kato [‘Similarity for sequences of projections’, Bull. Amer. Math. Soc.73(6) (1967), 904–905] on similarity for sequences of projections in Hilbert spaces to the case of unconditional Schauder decompositions in $\ell _{p}$ spaces. We also sharpen a stability theorem of Vizitei [‘On the stability of bases of subspaces in a Banach space’, in: Studies on Algebra and Mathematical Analysis, Moldova Academy of Sciences (Kartja Moldovenjaska, Chişinău, 1965), 32–44; (in Russian)] in the case of unconditional Schauder decompositions in any Banach space.

Application of a Khintchine Inequality to Holomorphic Mappings

1995 ◽  
Vol 176 (1) ◽  
pp. 65-72 ◽  
Author(s):  
Klaus Floret ◽  
Mário C. Matos
Keyword(s):  
Holomorphic Mappings ◽  
Khintchine Inequality

scholarly journals Property RD and Hypercontractivity for Orthogonal Free Quantum Groups

2020 ◽  
Author(s):  
Michael Brannan ◽  
Roland Vergnioux ◽  
Sang-Gyun Youn
Keyword(s):  
Quantum Groups ◽  
Free Groups ◽  
Heat Semigroups ◽  
Khintchine Inequality

Abstract We prove that the twisted property RD introduced in [ 2] fails to hold for all non-Kac type, non-amenable orthogonal free quantum groups. In the Kac case we revisit property RD, proving an analogue of the $L_p-L_2$ non-commutative Khintchine inequality for free groups from [ 29]. As an application, we give new and improved hypercontractivity and ultracontractivity estimates for the generalized heat semigroups on free orthogonal quantum groups, both in the Kac and non-Kac cases.

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