Properties of Besov and Qp spaces in terms of the Schwarzian derivative of harmonic mappings

Hugo Arbeláez; Rodrigo Hernández; Willy Sierra

doi:10.2298/FIL2535445A

Properties of Besov and Q_p spaces in terms of the Schwarzian derivative of harmonic mappings

Hugo Arbeláez
, Rodrigo Hernández
, Willy Sierra

Facultad de Ingeniería y Ciencias

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

Resumen

In this paper we give a characterization of log J_f belongs to^˜B_p or^˜Q_p spaces for any locally univalent sense-preserving harmonic mappings f defined in the unit disk, using the Schwarzian derivative of f and Carleson measure. In addition, we introduce the classes BT_p and QT_p, based on the Jacobian operator, and initiate a study of these spaces.

Idioma original	Inglés
Páginas (desde-hasta)	12445-12459
Número de páginas	15
Publicación	Filomat
Volumen	39
N.º	35
DOI	https://doi.org/10.2298/FIL2535445A
Estado	Publicada - 2025

Acceder al documento

10.2298/FIL2535445A

Citar esto

@article{c5015362eab3451490050e6814fc3e83,

title = "Properties of Besov and Qp spaces in terms of the Schwarzian derivative of harmonic mappings",

abstract = "In this paper we give a characterization of log Jf belongs to˜Bp or˜Qp spaces for any locally univalent sense-preserving harmonic mappings f defined in the unit disk, using the Schwarzian derivative of f and Carleson measure. In addition, we introduce the classes BTp and QTp, based on the Jacobian operator, and initiate a study of these spaces.",

keywords = "Besov space, Harmonic mapping, Q space, Schwarzian derivative",

author = "Hugo Arbel{\'a}ez and Rodrigo Hern{\'a}ndez and Willy Sierra",

year = "2025",

doi = "10.2298/FIL2535445A",

language = "English",

volume = "39",

pages = "12445--12459",

journal = "Filomat",

issn = "0354-5180",

publisher = "University of Nis",

number = "35",

}

TY - JOUR

T1 - Properties of Besov and Qp spaces in terms of the Schwarzian derivative of harmonic mappings

AU - Arbeláez, Hugo

AU - Hernández, Rodrigo

AU - Sierra, Willy

PY - 2025

Y1 - 2025

N2 - In this paper we give a characterization of log Jf belongs to˜Bp or˜Qp spaces for any locally univalent sense-preserving harmonic mappings f defined in the unit disk, using the Schwarzian derivative of f and Carleson measure. In addition, we introduce the classes BTp and QTp, based on the Jacobian operator, and initiate a study of these spaces.

AB - In this paper we give a characterization of log Jf belongs to˜Bp or˜Qp spaces for any locally univalent sense-preserving harmonic mappings f defined in the unit disk, using the Schwarzian derivative of f and Carleson measure. In addition, we introduce the classes BTp and QTp, based on the Jacobian operator, and initiate a study of these spaces.

KW - Besov space

KW - Harmonic mapping

KW - Q space

KW - Schwarzian derivative

UR - https://www.scopus.com/pages/publications/105028490101

U2 - 10.2298/FIL2535445A

DO - 10.2298/FIL2535445A

M3 - Article

AN - SCOPUS:105028490101

SN - 0354-5180

VL - 39

SP - 12445

EP - 12459

JO - Filomat

JF - Filomat

IS - 35

ER -

Properties of Besov and Qp spaces in terms of the Schwarzian derivative of harmonic mappings

Resumen

Acceder al documento

Huella

Citar esto

Properties of Besov and Q_p spaces in terms of the Schwarzian derivative of harmonic mappings