| The Spaces ∧α of Lipschitz Continuous Functions on Complete Riemannian Manifold with Nonnegative Curvature |
| Received:April 28, 1990 |
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| Fund Project:Research supported by EYTF of China. |
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| Abstract: |
| 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 |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1992.01.020 |
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