논문KCI 등재
A new biharmonic kernel for the upper half plane
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
We introduce a new biharmonic kernel for the upperhalf plane, and then study the properties of its relevant potentials,such as the convergence in the mean and the boundary behavior.Among other things, we shall see that Fatou's theorem is valid forthese potentials, so that the biharmonic Poisson kernel resemblesthe usual Poisson kernel for the upper half plane.
참고문헌 (2)
- "A Riesz representation formula for super-bi-harmonic functions", 26(2), pp.305~324 (2001)
- "A computation of Green functions for the weighted biharmonicoperators jzj2 with > 1", pp.78~ (1994)
관련 논문AI추천
Harmonic Conjugates of Weighted Harmonic Bergman Functions on Half-SpacesHeungSu Yi, Kyesook Nam대한수학회 · 대한수학회논문집2003 · 제18권 제3호Dirichlet problem for polynomials on the unit diskAli Sinan Sertoz대한수학회 · 대한수학회논문집2014 · 제29권 제3호Algebraic kernel functions and representation of planar domains정문자, Masahiko Taniguchi대한수학회 · 대한수학회지2003 · 제40권 제3호Weighted Harmonic Bergman functions on Half-Spaces구형운, 남계숙, 이흥수대한수학회 · 대한수학회지2005 · 제42권 제5호A Liouville type theorem for harmonic morphisms문동주, 정승달, Huili Liu대한수학회 · 대한수학회지2007 · 제44권 제4호The integral equations method with interface decomposition for the bi-harmonicA. Djellit, H. Saker, L. Ghannam, M. N. Benbourhim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제1호
이 간행물의 다른 논문 (13건)
Volume of $C^{1,\alpha}$-boundary domain in extended hyperbolic space김혁, 조윤희pp. 1143-1158An equality constrained least squares approach to the structural reanalysis장호종pp. 1159-1167On spin alternating group actions on spin 4-manifoldsXimin Liu, Kazuhiko Kiyonopp. 1183-1197On the $r$-th hyper-Kloosterman sums and its hybrid mean valueWenpeng Zhang, Tianping Zhangpp. 1199-1217On the hereditarily hypercyclic operatorsAli Farrokhinia, Bahman Yousefipp. 1219-1229