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We define a function μ from the set of sequences in the unit ball to R*+ by taking the greatest lower bound of the reciprocal of the interpolating constant of the sequences of the disk which get mapped to the given sequence by a holomorphic mapping from the disk to the ball. Its properties are studied in the spirit of the work of Amar and Thomas.
Van Trao, Nguyen. "Disks extremal with respect to interpolation constants.." Publicacions Matemàtiques 44.1 (2000): 119-133. <http://eudml.org/doc/41385>.
@article{VanTrao2000, abstract = {We define a function μ from the set of sequences in the unit ball to R*+ by taking the greatest lower bound of the reciprocal of the interpolating constant of the sequences of the disk which get mapped to the given sequence by a holomorphic mapping from the disk to the ball. Its properties are studied in the spirit of the work of Amar and Thomas.}, author = {Van Trao, Nguyen}, journal = {Publicacions Matemàtiques}, keywords = {Funciones analíticas; Funciones de variación acotada; Conjuntos de interpolación; extremal disk; interpolation constant}, language = {eng}, number = {1}, pages = {119-133}, title = {Disks extremal with respect to interpolation constants.}, url = {http://eudml.org/doc/41385}, volume = {44}, year = {2000}, }
TY - JOUR AU - Van Trao, Nguyen TI - Disks extremal with respect to interpolation constants. JO - Publicacions Matemàtiques PY - 2000 VL - 44 IS - 1 SP - 119 EP - 133 AB - We define a function μ from the set of sequences in the unit ball to R*+ by taking the greatest lower bound of the reciprocal of the interpolating constant of the sequences of the disk which get mapped to the given sequence by a holomorphic mapping from the disk to the ball. Its properties are studied in the spirit of the work of Amar and Thomas. LA - eng KW - Funciones analíticas; Funciones de variación acotada; Conjuntos de interpolación; extremal disk; interpolation constant UR - http://eudml.org/doc/41385 ER -