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A family of sharp inequalities on real spheres

Roberto Bramati (UGent)
(2021) COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 67(8). p.2030-2042
Author
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Abstract
We prove a family of sharp multilinear integral inequalities on real spheres involving functions that possess some symmetries that can be described by annihilation by certain sets of vector fields. The Lebesgue exponents involved are seen to be related to the combinatorics of such sets of vector fields. Moreover, we derive some Euclidean Brascamp-Lieb inequalities localized to a ball of radius R, with a blow-up factor of type R-delta, where the exponent delta > 0 is related to the aforementioned Lebesgue exponents, and prove that in some cases d is optimal.
Keywords
Applied Mathematics, Computational Mathematics, Numerical Analysis, Analysis, Multilinear inequalities, homogeneous spaces, heat flow, ENTROPY

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MLA
Bramati, Roberto. “A Family of Sharp Inequalities on Real Spheres.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 67, no. 8, 2021, pp. 2030–42, doi:10.1080/17476933.2021.1921754.
APA
Bramati, R. (2021). A family of sharp inequalities on real spheres. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 67(8), 2030–2042. https://doi.org/10.1080/17476933.2021.1921754
Chicago author-date
Bramati, Roberto. 2021. “A Family of Sharp Inequalities on Real Spheres.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 67 (8): 2030–42. https://doi.org/10.1080/17476933.2021.1921754.
Chicago author-date (all authors)
Bramati, Roberto. 2021. “A Family of Sharp Inequalities on Real Spheres.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 67 (8): 2030–2042. doi:10.1080/17476933.2021.1921754.
Vancouver
1.
Bramati R. A family of sharp inequalities on real spheres. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 2021;67(8):2030–42.
IEEE
[1]
R. Bramati, “A family of sharp inequalities on real spheres,” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 67, no. 8, pp. 2030–2042, 2021.
@article{8753342,
  abstract     = {{We prove a family of sharp multilinear integral inequalities on real spheres involving functions that possess some symmetries that can be described by annihilation by certain sets of vector fields. The Lebesgue exponents involved are seen to be related to the combinatorics of such sets of vector fields. Moreover, we derive some Euclidean Brascamp-Lieb inequalities localized to a ball of radius R, with a blow-up factor of type R-delta, where the exponent delta > 0 is related to the aforementioned Lebesgue exponents, and prove that in some cases d is optimal.}},
  author       = {{Bramati, Roberto}},
  issn         = {{1747-6933}},
  journal      = {{COMPLEX VARIABLES AND ELLIPTIC EQUATIONS}},
  keywords     = {{Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis,Multilinear inequalities,homogeneous spaces,heat flow,ENTROPY}},
  language     = {{eng}},
  number       = {{8}},
  pages        = {{2030--2042}},
  title        = {{A family of sharp inequalities on real spheres}},
  url          = {{http://doi.org/10.1080/17476933.2021.1921754}},
  volume       = {{67}},
  year         = {{2021}},
}
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