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We generalize to several variables the classical theorem of Nevanlinna that characterizes the Cauchy transforms of positive measures on the real line.
The problem of finding the optimal shape is reduced to one consisting of minimizing a linear form over a set of positive measures.
The study of positive solutions of BVPs that involve Stieltjes integrals has been done, in the case of positive measures, in [21 24].
GLOBE's president, John Gummer, the veteran advocate for an enduring international agreement to combat global warming, gave an optimistic account of a raft of positive measures that have been introduced unilaterally by governments around the world.
Knowledge of nurses' reactions to economic incentives and disincentives facilitates the creation of positive measures that will encourage desired behaviours.
The government has taken a number of positive measures to motivate and educate the young learners well so that they get enrolled hundred percent, don't drop out and receive quality education.
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(v) We shall say that a measure is purely atomic if every measurable set of positive measure contains an atom. .
If μ is a measure on (mathbb{R}), and if (mathcal{S}subseteq mathbb{R}) is a measurable set of positive measure, then the integral mean point c=frac{1}{mu(mathcal{S})}int_{mathcal{S}}x,dmu (4) is called the barycenter of the set (mathcal{S}) respecting measure μ, or just the set barycenter.
We show that for the time dependent Schr\ odinger equation, any set of positive measure can be used for observability and controllability.
The Remez inequality for polynomials states that the maximum of the polynomial over an interval is controlled by its maximum over a subset of the interval of positive measure.
Math. N.S .10 (1999), 161 171, we prove that a positive multiplication operator on an arbitrary Banach function space X is compact-friendly if and only if the multiplier is constant on a set of positive measure.
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