dc.contributor.author
Marco, Nicolas
dc.identifier
https://ddd.uab.cat/record/1956
dc.identifier
urn:10.5565/PUBLMAT_45101_12
dc.identifier
urn:oai:ddd.uab.cat:1956
dc.identifier
urn:articleid:20144350v45n1p235
dc.identifier
urn:oai:raco.cat:article/38016
dc.identifier
urn:wos_id:000168797200012
dc.description.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).
dc.format
application/pdf
dc.relation
Publicacions matemàtiques ; V. 45 N. 1 (2001), p. 235-257
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.title
Generalized interpolation in the unit ball
