Regularity of Projection Operators Attached to Worm Domains

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

2010 Mathematics Subject Classification: Primary 32W05; Secondary 35B65, 32T20

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