Volume no :13, Issue no: 1, January (2012)

COMPENSATED INTERPOLATING SEQUENCES

Author's: FRANCESC TUGORES and LAIA TUGORES
Pages: [47] - [53]
Received Date: Received July 30, 2011
Submitted by:

Abstract

This paper deals with two interpolation problems in the unit disc of the complex plane for sequences in a Stolz angle. In the first one, bounded sequences are interpolated by the product of a function in the Lipschitz class on and other one in the space thus generalizing a previous result in which, the function in was taken as the derivative of a Blaschke product. In the second one, bounded sequences are interpolated by a sum of functions of the mentioned type.

Keywords

interpolating sequence, uniformly separated, Stolz angle, Lipschitz class.