An inequality related to the isoperimetric inequality

DOI10.1090/S0002-9904-1949-09320-5zbMath0035.38302OpenAlexW2090322880WikidataQ29300905 ScholiaQ29300905MaRDI QIDQ5793632

L. H. Loomis, Hassler Whitney

Publication date: 1949

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1949-09320-5

zbMATH Keywords

Metric geometry, convex geometry

Related Items

The Slicing Problem by Bourgain, Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher, Separation profile, isoperimetry, growth and compression, Decoupling estimates in Fourier analysis, Communication Lower Bounds and Optimal Algorithms for Multiple Tensor-Times-Matrix Computation, Sharp isoperimetric inequalities for affine quermassintegrals, Projection body and isoperimetric inequalities for \(s\)-concave functions, Multilinear duality and factorisation for Brascamp-Lieb-type inequalities, Convergence of Gibbs sampling: coordinate hit-and-run mixes fast, Lower Semicontinuity of Parametric Integrals, On a generalization of the Lebesgue integral in $E_m$, Filling metric spaces, Orthogonal projections of discretized sets, LYZ ellipsoid and Petty projection body for log-concave functions, On a local version of the Aleksandrov-Fenchel inequality for the quermassintegrals of a convex body, Sharp bilinear estimates and its application to a system of quadratic derivative nonlinear Schrödinger equations, Loomis-Whitney inequalities in Heisenberg groups, A proof of a Loomis-Whitney type inequality via optimal transport, The nonlinear Schrödinger equation on tori: Integrating harmonic analysis, geometry, and probability, On some Fournier-Gagliardo type inequalities, 𝐿^{𝑝} improving bounds for averages along curves, The topological strong spatial mixing property and new conditions for pressure approximation, Mixed norms and rearrangements: Sobolev's inequality and Littlewood's inequality, Positive Gaussian Kernels also Have Gaussian Minimizers, Convex bodies with extremal volumes having prescribed brightness in finitely many directions, A lattice point problem and additive number theory, The dual Loomis–Whitney inequality, On the multilinear restriction and Kakeya conjectures, Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies, Surface order large deviations for high-density percolation, Extremal Regular Graphs: Independent Sets and Graph Homomorphisms, Partially thermostated Kac model, The endpoint case of the Bennett-Carbery-Tao multilinear Kakeya conjecture, Zero-sum subsets in vector spaces over finite fields, On a problem of Erdős and Moser, Parallel Matrix Multiplication: A Systematic Journey, Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations with radial initial data, A short proof of the multilinear Kakeya inequality, On a topological version of Pach's overlap theorem, Computing from projections of random points, Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices, Uniform sublevel Radon-like inequalities, Forbidden Hypermatrices Imply General Bounds on Induced Forbidden Subposet Problems, Optimal receiver operating characteristic manifolds, \(L^p\) improving multilinear Radon-like transforms, COARSE REDUCIBILITY AND ALGORITHMIC RANDOMNESS, On the Inequalities of Projected Volumes and the Constructible Region, Projections, entropy and sumsets, Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation, On extremal sections of subspaces of \(L_p\), Reverse Brascamp-Lieb inequality and the dual Bollobás-Thomason inequality, Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D, Positivité améliorée et noyaux gaussiens, Reverse Loomis-Whitney inequalities via isotropicity, The complex L_p Loomis-Whitney inequality, \(L_\infty \) Loomis-Whitney inequalities, On the disconnection of a discrete cylinder by a biased random walk, A Grassmannian Loomis–Whitney inequality and its dual, An extremal property of \(p\)-mean width, Quantitative absolute continuity of planar measures with two independent Alberti representations, Isoperimetry in integer lattices, Communication Lower Bounds of Bilinear Algorithms for Symmetric Tensor Contractions, An upper bound on the number of self-avoiding polygons via joining, Shadows of Convex Bodies, Minimising the sum of projections of a finite set, A sharp concentration inequality with applications, A uniform \(L^{\infty}\) estimate for complex Monge-Ampère equations, Mixed norm spaces and rearrangement invariant estimates, Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities, Brascamp-Lieb inequality for positive double John basis and its reverse, Estimates for the \(X\)-ray transform restricted to 2-manifolds, Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis, Greedy lattice animals: geometry and criticality, A convolution estimate for two-dimensional hypersurfaces, Estimates of Loomis-Whitney type for intrinsic volumes, Communication lower bounds and optimal algorithms for numerical linear algebra, Reverse and dual Loomis-Whitney-type inequalities, The \(L^p\) Gagliardo-Nirenberg-Zhang inequality, On the reverse Loomis-Whitney inequality, Sumsets and entropy, Logarithmic-Sobolev and multilinear Hölder's inequalities via heat flow monotonicity formulas, Entropy decay for the Kac evolution, An elementary proof of the Loomis-Whitney theorem, The influence of variables in product spaces, The Kac model coupled to a thermostat, Unnamed Item, On extensions of the Loomis-Whitney inequality and Ball's inequality for concave, homogeneous measures, AN EXTENDED LOOMIS–WHITNEY INEQUALITY FOR POSITIVE DOUBLE JOHN BASES, Geometric stability via information theory, On lower transcendence degree, On the reverse dual Loomis-Whitney inequality, ALMOST UNKNOTTED EMBEDDINGS OF GRAPHS IN Z³ AND HIGHER DIMENSIONAL ANALOGUES, Rogers-Shephard and local Loomis-Whitney type inequalities, Geometric Newton inequalities, Hat guessing on books and windmills, Condensation of a self-attracting random walk, Continuous versions of some extremal hypergraph problems. II, Local well-posedness for the Zakharov system in dimension \(d \leqslant 3\), Coordinate deletion of zeroes, Solidification of porous interfaces and disconnection, Kakeya-Brascamp-Lieb inequalities, Brascamp-Lieb inequalities on compact homogeneous spaces, Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma, On affine invariant and local Loomis–Whitney type inequalities, A rigorous bound on the critical exponent for the number of lattice trees, animals, and polygons., Duality and Optimality of Auctions for Uniform Distributions, Inequalities about normalized L_p projection body, The \(L_p\) Loomis-Whitney inequality, A tight analysis of geometric local search, Bounds on the lattice point enumerator via slices and projections, Isoperimetric inequalites and areas of projections in \(\mathbb{R}^ n\)