Free interpolation for holomorphic functions regular to the boundary

Joaquim Bruna; Francesc Tugores

Free interpolation for holomorphic functions regular to the boundary

Joaquim Bruna, Francesc Tugores

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

7 Citations (Scopus)

Abstract

We consider the class Lip s of holomorphic functions in the unit disc satisfying a Lipschitz condition of order s, 0 < s ≤ 1 and the class A1 of holomorphic functions f such that the derivatives f′ belong to the disc algebra. In this paper we give the complete characterization of the interpolation sets for these classes, thus completing the previous works of J. Bruna, E. M. Dyn’kin and E. P. Kronstadt. © 1983 by Pacific Journal of Mathematics.

Original language	English
Pages (from-to)	31-49
Journal	Pacific Journal of Mathematics
Volume	108
Issue number	1
Publication status	Published - 1 Jan 1983

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title = "Free interpolation for holomorphic functions regular to the boundary",

abstract = "We consider the class Lip s of holomorphic functions in the unit disc satisfying a Lipschitz condition of order s, 0 < s ≤ 1 and the class A1 of holomorphic functions f such that the derivatives f′ belong to the disc algebra. In this paper we give the complete characterization of the interpolation sets for these classes, thus completing the previous works of J. Bruna, E. M. Dyn{\textquoteright}kin and E. P. Kronstadt. {\textcopyright} 1983 by Pacific Journal of Mathematics.",

author = "Joaquim Bruna and Francesc Tugores",

year = "1983",

month = jan,

day = "1",

language = "English",

volume = "108",

pages = "31--49",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

number = "1",

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TY - JOUR

T1 - Free interpolation for holomorphic functions regular to the boundary

AU - Bruna, Joaquim

AU - Tugores, Francesc

PY - 1983/1/1

Y1 - 1983/1/1

N2 - We consider the class Lip s of holomorphic functions in the unit disc satisfying a Lipschitz condition of order s, 0 < s ≤ 1 and the class A1 of holomorphic functions f such that the derivatives f′ belong to the disc algebra. In this paper we give the complete characterization of the interpolation sets for these classes, thus completing the previous works of J. Bruna, E. M. Dyn’kin and E. P. Kronstadt. © 1983 by Pacific Journal of Mathematics.

AB - We consider the class Lip s of holomorphic functions in the unit disc satisfying a Lipschitz condition of order s, 0 < s ≤ 1 and the class A1 of holomorphic functions f such that the derivatives f′ belong to the disc algebra. In this paper we give the complete characterization of the interpolation sets for these classes, thus completing the previous works of J. Bruna, E. M. Dyn’kin and E. P. Kronstadt. © 1983 by Pacific Journal of Mathematics.

M3 - Article

VL - 108

SP - 31

EP - 49

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 1

ER -