The Spaces ∧α of Lipschitz Continuous Functions on Complete Riemannian Manifold with Nonnegative Curvature[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 1992, 8(1): 124-124.
Citation:
The Spaces ∧α of Lipschitz Continuous Functions on Complete Riemannian Manifold with Nonnegative Curvature[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 1992, 8(1): 124-124.
The Spaces ∧α of Lipschitz Continuous Functions on Complete Riemannian Manifold with Nonnegative Curvature[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 1992, 8(1): 124-124.
Citation:
The Spaces ∧α of Lipschitz Continuous Functions on Complete Riemannian Manifold with Nonnegative Curvature[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 1992, 8(1): 124-124.
The Spaces ∧α of Lipschitz Continuous Functions on Complete Riemannian Manifold with Nonnegative Curvature
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