Poincaré inequality 3/2 on the Hamming cube

Autor:	Paata Ivanisvili, Alexander Volberg
Rok vydání:	2019
Předmět:	Discrete mathematics symbols.namesake Inequality General Mathematics media_common.quotation_subject symbols Poincaré inequality Hamming distance Gaussian measure Principal branch media_common Mathematics Sobolev inequality
Zdroj:	Revista Matemática Iberoamericana. 36:79-97
ISSN:	0213-2230
DOI:	10.4171/rmi/1122
Popis:	For any n≥1, and any f:{−1,1}n→R, we have RE(f+i|∇f|)3/2≤R(Ef)3/2, where z3/2 for z=x+iy is taken with principal branch, and R denotes the real part. We show an application of this inequality: it sharpens a well-known inequality of Beckner.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6aad681f65a1c20e824309a75d63fbbf https://doi.org/10.4171/rmi/1122 Zobrazit plný text záznamu