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

中文摘要:

      

英文摘要:

      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 J_β mapps ∧_α isomorphically onto ∧_α+β