Abstract
It is shown that the description of interpolation sets for analytic Holder classes in a standard strip can be completely transferred to a generalized strip, i.e., to a subset of the standard strip bounded by two Lavrentiev curves. For this reason, some geometric properties of a generalized strip are established. Namely, it is shown that a generalized strip can be extended across arcs of the complement of an interpolation set on the boundary and that a generalized strip can be decomposed into Lavrentiev domains. These properties allow us to transfer the scheme of the proof of the interpolation theorem in the standard strip to the case of a generalized strip. Bibliography: 12 titles.
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