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| Home > Articles > Published articles > Generalized interpolation in the unit ball |
| Date: | 2001 |
| Abstract: | We study a generalized interpolation problem for the space H[infinity](B2) of bounded homomorphic functions in the ball B2. A sequence Z = {zn} of B2 is an interpolating sequence of order 1 if for all sequence of values wn satisfying conditions of order 1 (that is discrete derivatives in the pseudohyperbolic metric are bounded) there exists a function f [member of] H[infinity](B2) such that f(zn) = wn. These sequences are characterized as unions of 3 free interpolating sequences for H[infinity](B2) such that all triplets of Z made of 3 nearby points have to define an angle uniformly bounded below (in an appropriate sense). Also, we give a multiple interpolation result (interpolation of values and derivatives). |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 45 N. 1 (2001) , p. 235-257, ISSN 2014-4350 |
