| 双曲Riemann曲面上有界调和函数的共轭空间 |
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| 引用本文： | 邱曙熙.双曲Riemann曲面上有界调和函数的共轭空间[J].厦门大学学报(自然科学版),1987(3). |
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| 作者姓名： | 邱曙熙 |
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| 作者单位： | 厦门大学数学系 |
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| 摘 要： | 本文证明了l是HX(R)上的有界线性泛函的充分必要条件是存在h∈L~1(v)使另外还有|l|=|h|_1.其中HX=HB、HBD; v对应地表示R的关于Wiener和Royden边界的调和测度。
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The Conjugate Space of the Bounded Harmonic Functions on Hyperbolic Riemann Surfaces |
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| Qiu Shuxi.The Conjugate Space of the Bounded Harmonic Functions on Hyperbolic Riemann Surfaces[J].Journal of Xiamen University(Natural Science),1987(3). |
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| Authors: | Qiu Shuxi |
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| Institution: | Mathematical Department |
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| Abstract: | It is verified that HB(R) (HBD(R) resp.) is isomorphic to L1(vn) (L1(vM)resp.). Furthermore, the isomorphisms preserve norms, where HB(R) (HBD(R)resp.) is of the bounded linear functional on HB(R) (HBD(R) resp.), the space of bounded harmonic functions (bounded harmonic funcions with finite Dirichlet integral resp.) on a hyperbolic Riemann surface R, and L1(vN) (L1(vM) resp.) consists of the integrable functions with respect to the harmonic measure on Wiener (Royden resp.) boundary of R. |
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| Keywords: | Hyperbolic Riemann surfaces Bounded Harmonic functions Con-jugate space |
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