Free interpolation of germs of analytic functions in Hardy spaces

One proves theorems on the interpolation of germs of analytic functions, defined in the neighborhoods of the interpolation nodes, in the Hardy spaces H^P(0 < p +), generalizing the corresponding results of N. K. Nikol'skii and V. I. Vasyunin for the classes H and H². One obtains estimates of the norms of the interpolating functions in terms of the parameter of the set on which the interpolation is performed.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 107, pp. 36–45, 1982.