# Generalized interpolation in the unit ball.

Publicacions Matemàtiques (2001)

- Volume: 45, Issue: 1, page 235-257
- ISSN: 0214-1493

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topMarco, Nicolas. "Generalized interpolation in the unit ball.." Publicacions Matemàtiques 45.1 (2001): 235-257. <http://eudml.org/doc/41421>.

@article{Marco2001,

abstract = {We study a generalized interpolation problem for the space H∞(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 ∈ H∞(B2) such that f(zn) = wn. These sequences are characterized as unions of 3 free interpolating sequences for H∞(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).},

author = {Marco, Nicolas},

journal = {Publicacions Matemàtiques},

keywords = {Interpolación; Funciones analíticas; Bola unidad},

language = {eng},

number = {1},

pages = {235-257},

title = {Generalized interpolation in the unit ball.},

url = {http://eudml.org/doc/41421},

volume = {45},

year = {2001},

}

TY - JOUR

AU - Marco, Nicolas

TI - Generalized interpolation in the unit ball.

JO - Publicacions Matemàtiques

PY - 2001

VL - 45

IS - 1

SP - 235

EP - 257

AB - We study a generalized interpolation problem for the space H∞(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 ∈ H∞(B2) such that f(zn) = wn. These sequences are characterized as unions of 3 free interpolating sequences for H∞(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).

LA - eng

KW - Interpolación; Funciones analíticas; Bola unidad

UR - http://eudml.org/doc/41421

ER -

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