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$\Phi$-Carleson measures and multipliers between Bergman-Orlicz spaces of the unit ball of $\mathbb {C}^n$

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Benoît F. Sehba

Classical Analysis and ODEs · Submitted 27 Aug 2015

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We then characterize $\Phi$-Carleson measures for Bergman-Orlicz spaces, and apply them to characterize multipliers between Bergman-Orlicz spaces.

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arXiv ID1508.06869 (version 1)
Pith ID77R4MTY3, Pith's permanent record of this paper and its review
CitationBeno\^it F. Sehba. "$\Phi$-Carleson measures and multipliers between Bergman-Orlicz spaces of the unit ball of $\mathbb {C}^n$." arXiv:1508.06869 (2015). https://pith.science/paper/77R4MTY3
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,313 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.05 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; .

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

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We define the notion of $\Phi$-Carleson measures where $\Phi$ is either a concave growth function or a convex growth function and provide an equivalent definition. contribution 1.00 0.94 0.11 asserted 1.00
s1 We then characterize $\Phi$-Carleson measures for Bergman-Orlicz spaces, and apply them to characterize multipliers between Bergman-Orlicz spaces. contribution 0.74 0.95 0.72 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

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

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