Sharp trace Gagliardo–Nirenberg–Sobolev inequalities for convex cones, and convex domains

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions

Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions are proven.

متن کامل

Trace-Inequalities and Matrix-Convex Functions

A real-valued continuous function f t on an interval α, β gives rise to a map X → f X via functional calculus from the convex set of n × n Hermitian matrices all of whose eigenvalues belong to the interval. Since the subpace of Hermitianmatrices is providedwith the order structure induced by the cone of positive semidefinite matrices, one can consider convexity of this map. We will characterize...

متن کامل

Inequalities for quermassintegrals on k-convex domains

In this paper, we study the Aleksandrov–Fenchel inequalities for quermassintegrals on a class of nonconvex domains. Our proof uses optimal transport maps as a tool to relate curvature quantities of different orders defined on the boundary of the domain. © 2013 Elsevier Inc. All rights reserved.

متن کامل

Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones

In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...

متن کامل

Bornological Completion of Locally Convex Cones

In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [1]) and then we introduce the concept of bornological completion for locally convex cones. Also, we prove that the completion of a bornological locally convex cone is bornological. We illustrate the main result by an example.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire

سال: 2019

ISSN: 0294-1449

DOI: 10.1016/j.anihpc.2018.11.001