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Abstract
Holomorphic functions in tubes which generalize the Hardy H
p functions are shown to have boundary values on the topological boundary
of the tube. The boundary values are obtained restrictedly and unrestrictedly in L
2 and in the strong topology of the distribution space ′r the r ⩾1 the Fourier transform space of the distributions of exponential growth.ℋ′r.
∗This material is based upon work supported by the National Science Foundation under Grant No. DMS-8418435.
∗This material is based upon work supported by the National Science Foundation under Grant No. DMS-8418435.
Notes
∗This material is based upon work supported by the National Science Foundation under Grant No. DMS-8418435.