Theorem on uniform continuity of cononical potential

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Cononical potential is important in the theory of subharmonic and -subharmonic functions. Classical properties were presented in many monographs, for example, in the works of N. S. Landkoff and V. S. Azarin. The paper considers the case: measure in the plane. For any we consider the Cononical potential as an element of the spaces . In this article we give a sufficient condition on a measure the function to be uniformly continious in the parameter in .

Cononical potential, borel measure, uniform continuity, minkowski inequality, lebesgue measure

Короткий адрес: https://sciup.org/140275778

IDR: 140275778

Список литературы Theorem on uniform continuity of cononical potential

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