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

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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

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JF - Acta Scientiarum Mathematicarum

IS - 3-4

ER -

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

Abstract

Keywords

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