Relevant bibliographies by topics / Brascamp-Lieb inequalities

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Academic literature on the topic 'Brascamp-Lieb inequalities'

Author: Grafiati
Published: 9 March 2023

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Journal articles on the topic "Brascamp-Lieb inequalities"

1

Zorin-Kranich, Pavel. "Kakeya–Brascamp–Lieb inequalities." Collectanea Mathematica 71, no. 3 (2019): 471–92. http://dx.doi.org/10.1007/s13348-019-00273-2.

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2

Bennett, Jonathan, Neal Bez, and Susana Gutiérrez. "Global Nonlinear Brascamp–Lieb Inequalities." Journal of Geometric Analysis 23, no. 4 (2012): 1806–17. http://dx.doi.org/10.1007/s12220-012-9307-3.

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3

Duncan, Jennifer. "An Algebraic Brascamp–Lieb Inequality." Journal of Geometric Analysis 31, no. 10 (2021): 10136–63. http://dx.doi.org/10.1007/s12220-021-00638-9.

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AbstractThe Brascamp–Lieb inequalities are a very general class of classical multilinear inequalities, well-known examples of which being Hölder’s inequality, Young’s convolution inequality, and the Loomis–Whitney inequality. Conventionally, a Brascamp–Lieb inequality is defined as a multilinear Lebesgue bound on the product of the pullbacks of a collection of functions $$f_j\in L^{q_j}(\mathbb {R}^{n_j})$$ f j ∈ L q j ( R n j ) , for $$j=1,\ldots ,m$$ j = 1 , … , m , under some corresponding linear maps $$B_j$$ B j . This regime is now fairly well understood (Bennett et al. in Geom Funct Anal
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4

Arnaudon, Marc, Michel Bonnefont, and Aldéric Joulin. "Intertwinings and generalized Brascamp–Lieb inequalities." Revista Matemática Iberoamericana 34, no. 3 (2018): 1021–54. http://dx.doi.org/10.4171/rmi/1014.

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5

Iglesias, David, and Jesús Yepes Nicolás. "On discrete Borell–Brascamp–Lieb inequalities." Revista Matemática Iberoamericana 36, no. 3 (2019): 711–22. http://dx.doi.org/10.4171/rmi/1145.

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6

Bramati, Roberto. "Brascamp–Lieb Inequalities on Compact Homogeneous Spaces." Analysis and Geometry in Metric Spaces 7, no. 1 (2019): 130–57. http://dx.doi.org/10.1515/agms-2019-0007.

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Abstract We provide a general strategy to construct multilinear inequalities of Brascamp–Lieb type on compact homogeneous spaces of Lie groups. As an application we obtain sharp integral inequalities on the real unit sphere involving functions with some degree of symmetry.
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7

Durcik, Polona, and Christoph Thiele. "Singular Brascamp–Lieb inequalities with cubical structure." Bulletin of the London Mathematical Society 52, no. 2 (2020): 283–98. http://dx.doi.org/10.1112/blms.12310.

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8

O’Neill, Kevin. "A variation on Hölder–Brascamp–Lieb inequalities." Transactions of the American Mathematical Society 373, no. 8 (2020): 5467–89. http://dx.doi.org/10.1090/tran/8070.

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9

Carlen, Eric A., and Elliott H. Lieb. "Brascamp--Lieb inequalities for non-commutative integration." Documenta Mathematica 13 (2008): 553–84. http://dx.doi.org/10.4171/dm/254.

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10

Cordero-Erausquin, Dario. "Transport Inequalities for Log-concave Measures, Quantitative Forms, and Applications." Canadian Journal of Mathematics 69, no. 3 (2017): 481–501. http://dx.doi.org/10.4153/cjm-2016-046-3.

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AbstractWe review some simple techniques based on monotonemass transport that allow us to obtain transport-type inequalities for any log-concave probability measures, and formore generalmeasures as well. We discuss quantitative forms of these inequalities, with application to the Brascamp-Lieb variance inequality.
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