“…The results of the paper constitute the technical foundation for the study of spaces of analytic functions in Jordan domains (cf., e.g., [6][7][8] If F is a rectifiable curve in C , and I, ~cF, is an arc, then III is the length of the arc ~ ; v _~r~ is the integral of the function f with respect to arc length. ~ ~, if 0 < ci < Ifl/Igl < c2 < =.…”