Nonintegrability of harmonic functions in a domain
Author:
Affiliation:
1. DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE HIROSHIMA UNIVERSITY
2. DEPARTMENT OF MATHEMATICS COLLEGE OF GENERAL EDUCATION NAGOYA UNIVERSITY
Publisher
Mathematical Society of Japan (JST)
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/math1924/16/2/16_2_269/_pdf
Reference8 articles.
1. [1] C. Fefferman and E. M. Stein, Hp spaces of several variables, Acta Math., 129 (1972), 137-193.
2. [2] L. L. Helms, Introduction to Potential Theory, Wiley-Interscience, New York, 1969.
3. [3] R. A. Hunt and R. L. Wheeden, Positive harmonic functions on Lipschitz do-mains, Trans. Amer. Math Sac., 147 (1970), 507-527.
4. [4] P. J. Kostense, On the behaviour of minimal positive harmonic functions at the boundary of their domain, Nederl. Akad. Wetensch. Proc. Ser. A, 80, Indag. Math. (1977), 23-28.
5. [5] F-Y. Maeda and N. Suzuki, The integrability of superharmonic functions on Lipschitz domains, Bull. London Math. Sac., 21 (1989), 270-278.
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