JournalsdmVol. 20pp. 1207–1225

Regularity of projection operators attached to worm domains

  • David E. Barrett

    Department of Mathematics, University of Michigan - Ann Arbor, 2074 East Hall, Ann Arbor, MI 48109, USA

  • Marco M. Peloso

    Dipartimento di Matematica, Università degli Studi di Milano, Via C. Saldini 50, 20133 Milano, Italy

  • Dariush Ehsani

    Hochschule Merseburg, Eberhard-Leibnitz-Str. 2, 06217 Merseburg, Germany
    ORCID
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Abstract

We construct a projection operator on an unbounded worm domain which maps subspaces of ^s to themselves. The subspaces are determined by a Fourier decomposition of ^s according to a rotational invariance of the worm domain.

Cite this article

David E. Barrett, Marco M. Peloso, Dariush Ehsani, Regularity of projection operators attached to worm domains. Doc. Math. 20 (2015), pp. 1207–1225

DOI 10.4171/DM/517