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- W4300900786 abstract "We prove L p Poincaré inequalities with suitable dimension free constants for functions on the discrete cube {−1, 1} n . As well known, such inequalities for p an even integer allow to recover an exponential inequality hence the concentration phenomenon first obtained by Bobkov and Götze. We also get inequalities between the L p norms of $$ leftvert nabla frightvert $$ and $$Delta ^{alpha }f,alpha > 0;$$ moreover L p spaces may be replaced by more general ones. Similar results hold true, replacing functions on the cube by matrices in the *-algebra spanned by n fermions and the L p norm by the Schatten norm C p ." @default.
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- W4300900786 date "2007-08-18" @default.
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- W4300900786 title "Poincaré type inequalities on the discrete cube and in the CAR algebra" @default.
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- W4300900786 doi "https://doi.org/10.1007/s00440-007-0094-x" @default.
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