A Cauchy-Schwarz type inequality for bilinear integrals on positive measures

DOI10.1090/S0002-9939-05-08082-2zbMath1066.26013MaRDI QIDQ4674764

Nils Ackermann

Publication date: 18 May 2005

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

zbMATH Keywords

integral inequalitiespositive definite functionCauchy-Schwarz inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15) Positive definite functions in one variable harmonic analysis (42A82) Variational methods for second-order elliptic equations (35J20) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (7)

Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations ⋮ Generalizations of Cauchy-Schwarz inequality in unitary spaces ⋮ Existence of ground states solutions for Dirac-Poisson systems ⋮ Multiplicity of solutions for asymptotically quadratic Dirac-Poisson system with non-periodic potential ⋮ Existence and multiplicity of stationary solutions for a class of Maxwell-Dirac system ⋮ Standing wave solutions of Maxwell-Dirac systems ⋮ Existence and asymptotic behavior of ground states for Choquard-Pekar equations with Hardy potential and critical reaction

Cites Work

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• On a periodic Schrödinger equation with nonlocal superlinear part
• Positive definite functions and generalizations, an historical survey
• Strange phenomena in convex and discrete geometry. Ed. by James J. Dudziak
• Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
• Strict definiteness of integrals via complete monotonicity of derivatives

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