THEOREM ON UNIFORM CONTINUITY OF LOGARITHMIC POTENTIAL
Bài báo do tác giả: TS. Nguyễn Văn Quỳnh- Giảng viên tổ toán chuyên đề- khoa Khoa học cơ bản trường Đại học Công nghiệp Hà Nội đăng trên tạp chí: Вестник науки и образования số 5 năm 2019.
Mô tả
Logarithmic potential is important in the theory of subharmonic and -subharmonic functions. Classical properties were presented in many monographs, for example in [1]. Not that AF Grishin and A. Chouigui studied the case where the measure is the restriction of the Lebesgue measure in the half-plane. The paper considers the case: measure in the plane. For any we consider the Logarithmic 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. We give example of measures, which satisfy this condition.
Toàn văn bài báo tải về tại đây: https://cyberleninka.ru/article/n/theorem-on-uniform-continuity-of-logarithmic-potential
Thứ Năm, 11:34 25/04/2019
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