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We define Hardy spaces Hp(Dβ′), p∈(1,∞), on the non-smooth worm domain Dβ′={(z1,z2)∈C2:|Imz1−log|z2|2|<π2,|log|z2|2|<β−π2} and we prove a series of related results such as the existence of boundary values on the distinguished boundary ∂Dβ′ of the domain and a Fatou-type theorem (i.e., pointwise convergence to the boundary values). Thus, we study the Szegő projection operator S˜ and the associated...
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