On weighted compositions preserving the Carathéodory class

Irina Arévalo; Rodrigo Hernández; María J. Martín; Dragan Vukotić

doi:10.1007/s00605-017-1093-3

On weighted compositions preserving the Carathéodory class

Irina Arévalo
, Rodrigo Hernández
, María J. Martín
, Dragan Vukotić

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

We characterize in various ways the weighted composition transformations which preserve the class P of normalized analytic functions in the disk with positive real part. We analyze the meaning of the criteria obtained for various special cases of symbols and identify the fixed points of such transformations.

Idioma original	Inglés
Páginas (desde-hasta)	459-477
Número de páginas	19
Publicación	Monatshefte fur Mathematik
Volumen	187
N.º	3
DOI	https://doi.org/10.1007/s00605-017-1093-3
Estado	Publicada - 1 nov 2018
Publicado de forma externa	Sí

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title = "On weighted compositions preserving the Carath{\'e}odory class",

abstract = "We characterize in various ways the weighted composition transformations which preserve the class P of normalized analytic functions in the disk with positive real part. We analyze the meaning of the criteria obtained for various special cases of symbols and identify the fixed points of such transformations.",

keywords = "Angular derivative, Fixed points, Functions with positive real part (Carath{\'e}odory class), Inner functions, Weighted composition transformation",

author = "Irina Ar{\'e}valo and Rodrigo Hern{\'a}ndez and Mart{\'i}n, \{Mar{\'i}a J.\} and Dragan Vukoti{\'c}",

note = "Publisher Copyright: {\textcopyright} 2017, Springer-Verlag GmbH Austria.",

year = "2018",

month = nov,

day = "1",

doi = "10.1007/s00605-017-1093-3",

language = "English",

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T1 - On weighted compositions preserving the Carathéodory class

AU - Arévalo, Irina

AU - Hernández, Rodrigo

AU - Martín, María J.

AU - Vukotić, Dragan

PY - 2018/11/1

Y1 - 2018/11/1

N2 - We characterize in various ways the weighted composition transformations which preserve the class P of normalized analytic functions in the disk with positive real part. We analyze the meaning of the criteria obtained for various special cases of symbols and identify the fixed points of such transformations.

AB - We characterize in various ways the weighted composition transformations which preserve the class P of normalized analytic functions in the disk with positive real part. We analyze the meaning of the criteria obtained for various special cases of symbols and identify the fixed points of such transformations.

KW - Angular derivative

KW - Fixed points

KW - Functions with positive real part (Carathéodory class)

KW - Inner functions

KW - Weighted composition transformation

UR - https://www.scopus.com/pages/publications/85028870053

U2 - 10.1007/s00605-017-1093-3

DO - 10.1007/s00605-017-1093-3

M3 - Article

AN - SCOPUS:85028870053

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VL - 187

SP - 459

EP - 477

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 3

ER -

On weighted compositions preserving the Carathéodory class

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