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Translation invariant projections in Sobolev spaces on tori in the L¹ and uniform norms

Volume 100 / 1991

M. Wojciechowski Studia Mathematica 100 (1991), 149-167 DOI: 10.4064/sm-100-2-149-167

Abstract

The idempotent multipliers on Sobolev spaces on the torus in the L¹ and uniform norms are characterized in terms of the coset ring of the dual group of the torus. This result is deduced from a more general theorem concerning certain translation invariant subspaces of vector-valued function spaces on tori.

Authors

  • M. Wojciechowski

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