Variable exponent Bergman spaces

Gerardo R. Chacón; Humberto Rafeiro

doi:10.1016/j.na.2014.04.001

Variable exponent Bergman spaces

Gerardo R. Chacón
, Humberto Rafeiro

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

23 Citations (Scopus)

Abstract

In this article we define variable exponent Bergman spaces and show that polynomials are dense in the spaces. We also show that the Bergman projection and the Berezin transform are bounded in these spaces.

Original language	English
Pages (from-to)	41-49
Number of pages	9
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	105
DOIs	https://doi.org/10.1016/j.na.2014.04.001
Publication status	Published - Aug 2014
Externally published	Yes

Keywords

Berezin transform
Bergman projection
Bergman spaces
Nonstandard function spaces
Variable exponent Lebesgue spaces

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2014.04.001

Cite this

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title = "Variable exponent Bergman spaces",

abstract = "In this article we define variable exponent Bergman spaces and show that polynomials are dense in the spaces. We also show that the Bergman projection and the Berezin transform are bounded in these spaces.",

keywords = "Berezin transform, Bergman projection, Bergman spaces, Nonstandard function spaces, Variable exponent Lebesgue spaces",

author = "Chac{\'o}n, \{Gerardo R.\} and Humberto Rafeiro",

note = "Funding Information: The research was partially supported by research project Espacios de Bergman con Exponente Variable, ID-PPTA: 5992 of the Faculty of Sciences of Pontificia Universidad Javeriana, Bogot{\'a}, Colombia.",

year = "2014",

month = aug,

doi = "10.1016/j.na.2014.04.001",

language = "English",

volume = "105",

pages = "41--49",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd",

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TY - JOUR

T1 - Variable exponent Bergman spaces

AU - Chacón, Gerardo R.

AU - Rafeiro, Humberto

N1 - Funding Information: The research was partially supported by research project Espacios de Bergman con Exponente Variable, ID-PPTA: 5992 of the Faculty of Sciences of Pontificia Universidad Javeriana, Bogotá, Colombia.

PY - 2014/8

Y1 - 2014/8

N2 - In this article we define variable exponent Bergman spaces and show that polynomials are dense in the spaces. We also show that the Bergman projection and the Berezin transform are bounded in these spaces.

AB - In this article we define variable exponent Bergman spaces and show that polynomials are dense in the spaces. We also show that the Bergman projection and the Berezin transform are bounded in these spaces.

KW - Berezin transform

KW - Bergman projection

KW - Bergman spaces

KW - Nonstandard function spaces

KW - Variable exponent Lebesgue spaces

UR - https://www.scopus.com/pages/publications/84899424023

UR - https://www.scopus.com/pages/publications/84899424023#tab=citedBy

U2 - 10.1016/j.na.2014.04.001

DO - 10.1016/j.na.2014.04.001

M3 - Article

AN - SCOPUS:84899424023

SN - 0362-546X

VL - 105

SP - 41

EP - 49

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

Variable exponent Bergman spaces

Abstract

Keywords

ASJC Scopus subject areas

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