Theorem on uniform continuity of Newton potential
Автор: Nguyen Van Quynh, Nguyen Van Manh
Журнал: Мировая наука @science-j
Рубрика: Естественные и технические науки
Статья в выпуске: 3 (60), 2022 года.
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Newton 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 Newton 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 .
Newton potential, borel measure, uniform continuity, minkowski inequality, lebesgue measure
Короткий адрес: https://sciup.org/140292075
IDR: 140292075
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