Abstract
In this paper, we study the regularity of the Szegö projection on Lebesgue and Sobolev spaces on the boundary of the unbounded model worm domain . We consider the Hardy space . Denoting by the boundary of , it is classical that can be identified with the closed subspace of , denoted by , consisting of the boundary values of functions in , where is the induced Lebesgue measure. The orthogonal Hilbert space projection is called the Szegö projection. Let denote the Lebesgue–Sobolev space on . We prove that P, initially defined on the dense subspace , extends to a bounded operator , for and .
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