Cover Image

On the optimal $L_p$-$L_4$ Khintchine inequality

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Barański, Adam, Murawski, Daniel, Nayar, Piotr, Oleszkiewicz, Krzysztof
Format:	Preprint
Published:	2025
Subjects:	Probability Functional Analysis Metric Geometry 52A40 (Primary) 60E15, 26D15 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Resilience of cube slicing in $\ell_p$
by: Eskenazis, Alexandros, et al.
Published: (2022)

Distributional stability of the Szarek and Ball inequalities
by: Eskenazis, Alexandros, et al.
Published: (2023)

On $L_p$ Brunn-Minkowski type inequalities for a general class of functionals
by: Malagón, Lidia Gordo, et al.
Published: (2025)

The Brunn-Minkowski inequality for the generalized Gaussian distribution
by: Xiong, Ge, et al.
Published: (2026)

Sharp inequalities for symmetric polynomials, Hunter's conjecture, and moments of exponential random variables
by: Brazitikos, Silouanos, et al.
Published: (2025)

Borell's inequality and mean width of random polytopes via discrete inequalities
by: Alonso-Gutiérrez, David, et al.
Published: (2024)

Extremal sections and projections of certain convex bodies: a survey
by: Nayar, Piotr, et al.
Published: (2022)

Stability of Khintchine inequalities with optimal constants between the second and the $p$-th moment for $p \ge 3$
by: Jakimiuk, Jacek
Published: (2025)

The Gaussian correlation inequality for centered convex sets and the case of equality
by: Nakamura, Shohei, et al.
Published: (2025)

Khinchin inequalities for uniforms on spheres with a deficit
by: Jakimiuk, Jacek, et al.
Published: (2025)

Strengthened inequalities for the mean width and the $\ell$-norm
by: Böröczky, Károly J., et al.
Published: (2020)

Moments of the Cramér transform of log-concave probability measures
by: Giannopoulos, Apostolos, et al.
Published: (2025)

Strengthened inequalities for the mean width and the $\ell$-norm of origin symmetric convex bodies
by: Böröczky, Károly J., et al.
Published: (2024)

From simplex slicing to sharp reverse Hölder inequalities
by: Melbourne, James, et al.
Published: (2025)

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit
by: Han, Bang-Xian
Published: (2026)

Shortest closed curve to contain a sphere in its convex hull
by: Ghomi, Mohammad, et al.
Published: (2022)

On the deterministic interior body of random polytopes
by: Pafis, Minas, et al.
Published: (2025)

Sharp estimates for the Cramér transform of log-concave measures and geometric applications
by: Brazitikos, Silouanos, et al.
Published: (2024)

Expected hyperbolic volumes of random beta polytopes
by: Kabluchko, Zakhar, et al.
Published: (2026)

Stability of polydisc slicing
by: Glover, Nathaniel, et al.
Published: (2023)

Affine Hardy--Littlewood--Sobolev inequalities
by: Haddad, Julián, et al.
Published: (2022)

Haagerup's phase transition at polydisc slicing
by: Chasapis, Giorgos, et al.
Published: (2022)

Maximal sections of the unit ball of $l^n_p(\mathbb{C})$ for $p > 2$
by: Jakimiuk, Jacek, et al.
Published: (2024)

A Closed Form for the Chord-Power Integral I_2 of a Triangle
by: Martirosyan, Mher, et al.
Published: (2026)

Sylvester's problem for beta-type distributions
by: Gusakova, Anna, et al.
Published: (2024)

Volumes of Regular Hyperbolic Simplices
by: Kabluchko, Zakhar, et al.
Published: (2025)

A Klain-Schneider Theorem for Vector-Valued Valuations on Convex Functions
by: Mouamine, Mohamed A., et al.
Published: (2025)

Inequalities and counterexamples for functional intrinsic volumes and beyond
by: Mussnig, Fabian, et al.
Published: (2024)

$n^2 + 1$ unit equilateral triangles cannot cover an equilateral triangle of side $> n$ if all triangles have parallel sides
by: Baek, Jineon, et al.
Published: (2023)

On the maximal perimeter of isotropic log-concave probability measures
by: Brazitikos, Silouanos, et al.
Published: (2026)

Power-law asymptotics of fractional $L^p$ polar projection bodies
by: Lê, Trí Minh
Published: (2026)

Skorokhod's topologies on path space
by: Freeman, Nic, et al.
Published: (2022)

Large Deviations Principle for Isoperimetry and Its Equivalence to Nonlinear Log-Sobolev Inequalities
by: Yu, Lei
Published: (2025)

BV Functions and Sets of Finite Perimeter on Configuration Spaces
by: Bruè, Elia, et al.
Published: (2021)

Geometric inequalities, stability results and Kendall's problem in spherical space
by: Hug, Daniel, et al.
Published: (2017)

Additive Kinematic Formulas for Functional Minkowski Vectors
by: Mouamine, Mohamed A.
Published: (2025)

The Vectorial Hadwiger Theorem on Convex Functions
by: Mouamine, Mohamed A., et al.
Published: (2025)

Poincaré inequalities and $A_p$ weights on bow-ties
by: Björn, Anders, et al.
Published: (2022)

On exact covering with unit disks
by: Chun, Ji Hoon, et al.
Published: (2024)

Random sections of ellipsoids and the power of random information
by: Hinrichs, Aicke, et al.
Published: (2019)