$\unicode[STIX]{x1D6F7}$-CARLESON MEASURES AND MULTIPLIERS BETWEEN BERGMAN–ORLICZ SPACES OF THE UNIT BALL OF $\mathbb{C}^{n}$. (22nd March 2017)

• Record Type: Journal Article
• Authors: SEHBA, BENOÎT F.
• Is Part Of: Journal of the Australian Mathematical Society. Volume 104:Number 1(2018)
• Page Start: 63
• Page End: 79
• Publication Date: 2017-03-22
• Subjects: primary 32A36, -- 46E30, -- secondary 32A35; Bergman–Orlicz spaces, -- Carleson measures, -- multipliers; Mathematics -- Periodicals; Statistics -- Periodicals; Mathematical statistics -- Periodicals; 510.5
• DOI: 10.1017/S1446788717000076
• Languages: English
• ISSNs: 1446-7887

Abstract

Abstract : We define the notion of $\unicode[STIX]{x1D6F7}$ -Carleson measures, where $\unicode[STIX]{x1D6F7}$ is either a concave growth function or a convex growth function, and provide an equivalent definition. We then characterize $\unicode[STIX]{x1D6F7}$ -Carleson measures for Bergman–Orlicz spaces and use them to characterize multipliers between Bergman–Orlicz spaces.