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Young’s Inequality for the Twisted Convolution
Journal of Fourier Analysis and Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weighted Young Inequalities for Convolutions
Southeast Asian Bulletin of Mathematics, 2003Let \(1 < p, q < \infty\) and let \(u\) and \(v\) be weighted functions on \(\mathbb R^n\). The aim of the paper is to find sufficient conditions for the validity of the inequality \[ \Bigl(\int_{\mathbb R^n} (g \times f)^q (x)\, u (x) \, dx\Bigr)^{1/q} \leq C \| g\| _X \Bigl(\int_{\mathbb R^n} f (x)^p \, v (x) \, dx\Bigr)^{1/p} \] for all measurable ...
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1995
Let p, q > 0 satisfy 1/p + 1/q = 1. We prove that for any pair A, B of n × n complex matrices there is a unitary matrix U, depending on A, B, such that $$U*\left| {AB*} \right|U \leqslant {\left| A \right|^p}/p + {\left| B \right|^q}/q.$$
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Let p, q > 0 satisfy 1/p + 1/q = 1. We prove that for any pair A, B of n × n complex matrices there is a unitary matrix U, depending on A, B, such that $$U*\left| {AB*} \right|U \leqslant {\left| A \right|^p}/p + {\left| B \right|^q}/q.$$
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Near-extremizers of Young’s inequality for Euclidean groups
Revista matemática iberoamericana, 2019Any pair of functions that nearly realizes equality in Young's convolution inequality ∥f∗g∥s≤A∥f∥p∥g∥q with sharp constant, for Euclidean groups, is close in norm to a pair that realizes equality.
M. Christ
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New refinements of some classical inequalities via Young’s inequality
Advances in Operator TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed Amine Ighachane +2 more
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Further refinements of Young’s type inequality for positive linear maps
RACSAM, 2021M. Ighachane, M. Akkouchi
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Interpolated Young and Heinz inequalities
Linear and Multilinear Algebra, 2015In this article, we interpolate the well-known Young’s inequality for numbers and matrices, when equipped with the Hilbert–Schmidt norm, then present the corresponding interpolations of recent refinements in the literature. As an application of these interpolated versions, we study the monotonicity these interpolations obey.
M. Sababheh, A. Yousef, R. Khalil
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2006
Operator and matrix versions of classical inequalities are of considerable interest in mathematics. A fundamental inequality among positive real numbers is the arithmetic-geometric mean inequality whose generalization is the most important case of the Young inequalities.
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Operator and matrix versions of classical inequalities are of considerable interest in mathematics. A fundamental inequality among positive real numbers is the arithmetic-geometric mean inequality whose generalization is the most important case of the Young inequalities.
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Maximal Integral Inequalities and Hausdorff–Young
Journal of Fourier Analysis and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Calixto P. Calderón, Alberto Torchinsky
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Presentation of Young's inequality [PDF]
Journal of inequalities and special functions, 2015 The paper presents different forms of Young's inequality. Main results include generalizations of the discrete and integral form. Issues on inequalities are studied using the geometric-arithmetic mean inequality, integral method and Jensen's inequality. A functional approach to Young's inequality is also considered.
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