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

DOI10.1016/j.jfa.2018.10.026zbMath1415.42007arXiv1709.08095OpenAlexW2963858181WikidataQ128971612 ScholiaQ128971612MaRDI QIDQ1731874

Paata Ivanisvili, Alexander Volberg

Publication date: 14 March 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08095

zbMATH Keywords

Mehler semigroupHausdorff-Young inequalitycomplex hypercontractivitydiscrete-continuous monotonicity

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (1)

Dimension independent Bernstein-Markov inequalities in Gauss space

Cites Work

• Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup
• Inequalities in Fourier analysis
• On complex hypercontractivity

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