Abstract
In previous work we have defined and studied holomorphic functions in tubes which generalize the Hardy Hρ (TB) spaces; the base B of the tube TB is a proper open subset of If B=C, an open convex cone in and 1 < ρ ⩽ 2, we have proved that our new functions have distributional boundary values in the strong topology of p as . In this paper we continue to study these new functions and extend the existence of boundary values to the cases 2 < ρ < ∞ We prove that our functions obtain boundary values in the strong topology of P as , where C is a polygonal cone or a regular cone, for the cases 2 < ρ < ∞.
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