Displaying similar documents to “Superharmonic functions and differential equations involving measures for quasilinear elliptic operators with lower order terms.”

Construction of non-subadditive measures and discretization of Borel measures

Johan Aarnes (1995)

Fundamenta Mathematicae

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The main result of the paper provides a method for construction of regular non-subadditive measures in compact Hausdorff spaces. This result is followed by several examples. In the last section it is shown that “discretization” of ordinary measures is possible in the following sense. Given a positive regular Borel measure λ, one may construct a sequence of non-subadditive measures μ n , each of which only takes a finite set of values, and such that μ n converges to λ in the w*-topology. ...

Products of completion regular measures

David Fremlin, S. Grekas (1995)

Fundamenta Mathematicae

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We investigate the products of topological measure spaces, discussing conditions under which all open sets will be measurable for the simple completed product measure, and under which the product of completion regular measures will be completion regular. In passing, we describe a new class of spaces on which all completion regular Borel probability measures are τ-additive, and which have other interesting properties.

On addition of two distinct sets of integers

Vsevolod F. Lev, Pavel Y. Smeliansky (1995)

Acta Arithmetica

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What is the structure of a pair of finite integers sets A,B ⊂ ℤ with the small value of |A+B|? We answer this question for addition coefficient 3. The obtained theorem sharpens the corresponding results of G. Freiman.