From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity

Alexander Volberg; Paata Ivanisvili

arxiv: 1709.08095 · v1 · pith:MJXOIBLSnew · submitted 2017-09-23 · 🧮 math.AP · math.CV· math.PR

From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity

Paata Ivanisvili , Alexander Volberg This is my paper

classification 🧮 math.AP math.CVmath.PR

keywords flowbecknerjansoncomplexcontinuouscubediscreteeasily

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We show how Beckner's montonicity result on Hamming cube easily implies the monotonicity of a flow introduced by Janson in Hausdorff--Young inequality

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From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity

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