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Journal of the London Mathematical Society 1996 53(3):569-581; doi:10.1112/jlms/53.3.569
© 1996 by London Mathematical Society
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© The London Mathematical Society

Some Equivalent Norms in Sobolev-Besov Spaces on Symmetric Riemannian Manifolds

Leszek Skrzypczak

Faculty of Mathematics and Computer Science, A. Mickiewicz University Matejki 48-49, 60-769 Poznan, Poland

Received 9 May 1994. Revision received 8 August 1994.

In this paper we introduce local means on Riemannian symmetric manifolds of the noncompact type corresponding to the Laplace-Beltrami operator, and investigate equivalent norms in the Sobolev and Besov spaces defined via these means.


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