On some equivalent definitions of ρ-Carleson measures on the unit ball

Benoit F. Sehba

On some equivalent definitions of ρ-Carleson measures on the unit ball

Benoit F. Sehba

University of Glasgow

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

4 Citations (Scopus)

Abstract

We give here some equivalent definitions of the so-called ρ-Carleson measures when ρ(t) = (log(4/t))^p(loglog(e⁴/t)) ^q, 0 ≤ p,q < ∞. As applications, we characterize the pointwise multipliers on LMOA(Sⁿ) and from this space to BMOA(S ⁿ). Boundedness of the Cesàro type integral operators on LMOA(Sⁿ) and from LMOA(Sⁿ) to BMOA(Sⁿ) is considered as well.

Original language	English
Pages (from-to)	499-525
Number of pages	27
Journal	Acta Scientiarum Mathematicarum
Volume	75
Issue number	3-4
Publication status	Published - 2009
Externally published	Yes

Keywords

BMOA
Bergman spaces
Bloch spaces
Carleson measures
Hardy spaces
LMOA

Cite this

@article{cdd25e63a6d04c3bb39c885dbe0a849a,

title = "On some equivalent definitions of ρ-Carleson measures on the unit ball",

abstract = "We give here some equivalent definitions of the so-called ρ-Carleson measures when ρ(t) = (log(4/t))p(loglog(e4/t)) q, 0 ≤ p,q < ∞. As applications, we characterize the pointwise multipliers on LMOA(Sn) and from this space to BMOA(S n). Boundedness of the Ces{\`a}ro type integral operators on LMOA(Sn) and from LMOA(Sn) to BMOA(Sn) is considered as well.",

keywords = "BMOA, Bergman spaces, Bloch spaces, Carleson measures, Hardy spaces, LMOA",

author = "Sehba, \{Benoit F.\}",

year = "2009",

language = "English",

volume = "75",

pages = "499--525",

journal = "Acta Scientiarum Mathematicarum",

issn = "0001-6969",

publisher = "Springer International Publishing",

number = "3-4",

}

TY - JOUR

T1 - On some equivalent definitions of ρ-Carleson measures on the unit ball

AU - Sehba, Benoit F.

PY - 2009

Y1 - 2009

N2 - We give here some equivalent definitions of the so-called ρ-Carleson measures when ρ(t) = (log(4/t))p(loglog(e4/t)) q, 0 ≤ p,q < ∞. As applications, we characterize the pointwise multipliers on LMOA(Sn) and from this space to BMOA(S n). Boundedness of the Cesàro type integral operators on LMOA(Sn) and from LMOA(Sn) to BMOA(Sn) is considered as well.

AB - We give here some equivalent definitions of the so-called ρ-Carleson measures when ρ(t) = (log(4/t))p(loglog(e4/t)) q, 0 ≤ p,q < ∞. As applications, we characterize the pointwise multipliers on LMOA(Sn) and from this space to BMOA(S n). Boundedness of the Cesàro type integral operators on LMOA(Sn) and from LMOA(Sn) to BMOA(Sn) is considered as well.

KW - BMOA

KW - Bergman spaces

KW - Bloch spaces

KW - Carleson measures

KW - Hardy spaces

KW - LMOA

UR - https://www.scopus.com/pages/publications/77957238976

M3 - Article

AN - SCOPUS:77957238976

SN - 0001-6969

VL - 75

SP - 499

EP - 525

JO - Acta Scientiarum Mathematicarum

JF - Acta Scientiarum Mathematicarum

IS - 3-4

ER -

On some equivalent definitions of ρ-Carleson measures on the unit ball

Abstract

Keywords

Other files and links

Fingerprint

Cite this