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

M. Wojciechowski

ArticleOriginal scientific text

Title

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

Authors ¹

Affiliations

Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

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.

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Title

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

Affiliations

Abstract

Bibliography