Φ-CARLESON MEASURES AND MULTIPLIERS BETWEEN BERGMAN-ORLICZ SPACES OF THE UNIT BALL OF ℂn

Benoît F. Sehba

doi:10.1017/S1446788717000076

Φ-CARLESON MEASURES AND MULTIPLIERS BETWEEN BERGMAN-ORLICZ SPACES OF THE UNIT BALL OF ℂⁿ

Benoît F. Sehba

Department of Mathematics

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

6 Citations (Scopus)

Abstract

We define the notion of Φ-Carleson measures, where Φ is either a concave growth function or a convex growth function, and provide an equivalent definition. We then characterize Φ-Carleson measures for Bergman-Orlicz spaces and use them to characterize multipliers between Bergman-Orlicz spaces.

Original language	English
Pages (from-to)	63-79
Number of pages	17
Journal	Journal of the Australian Mathematical Society
Volume	104
Issue number	1
DOIs	https://doi.org/10.1017/S1446788717000076
Publication status	Published - 1 Feb 2018

Keywords

Bergman-Orlicz spaces
Carleson measures
multipliers

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10.1017/S1446788717000076

Cite this

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abstract = "We define the notion of Φ-Carleson measures, where Φ is either a concave growth function or a convex growth function, and provide an equivalent definition. We then characterize Φ-Carleson measures for Bergman-Orlicz spaces and use them to characterize multipliers between Bergman-Orlicz spaces.",

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Φ-CARLESON MEASURES AND MULTIPLIERS BETWEEN BERGMAN-ORLICZ SPACES OF THE UNIT BALL OF ℂⁿ

Abstract

Keywords

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