| 李嘉禹.具有非负曲面的完备Riemann流形上Lipschitz连续函数空间(英文)[J].数学研究及应用,1992,12(1):117~126 |
| 具有非负曲面的完备Riemann流形上Lipschitz连续函数空间(英文) |
| The Spaces ∧α of Lipschitz Continuous Functions on Complete Riemannian Manifold with Nonnegative Curvature |
| 投稿时间：1990-04-28 |
| DOI：10.3770/j.issn:1000-341X.1992.01.020 |
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| We consider the spaces ∧α of Lipschitz continuous functions on complete Riemannian manifold with nonnegative Ricci curvature. We first give a characeriza-tion of f∈∧α in terms of its Poisson integral u(x, t), then we show that the Bessel potential Jβ mapps ∧α isomorphically onto ∧α+β |
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