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- W4320167727 abstract "This paper is devoted to the study of Hermite operators acting on noncommutative $L_{p}$-spaces. In the first part, we establish the noncommutative maximal inequalities for Bochner-Riesz means associated with Hermite operators and then obtain the corresponding pointwise convergence theorems. In particular, we develop a noncommutative Steintextquoteright s theorem of Bochner-Riesz means for the Hermite operators. The second part of this paper deals with two multiplier theorems for Hermite operators. Our analysis on this part is based on a noncommutative analogue of the classical Littlewood-Paley-Stein theory associated with Hermite expansions." @default.
- W4320167727 created "2023-02-13" @default.
- W4320167727 creator A5089174282 @default.
- W4320167727 date "2022-05-04" @default.
- W4320167727 modified "2023-10-17" @default.
- W4320167727 title "Noncommutative analysis of Hermite expansions" @default.
- W4320167727 doi "https://doi.org/10.48550/arxiv.2205.02284" @default.
- W4320167727 hasPublicationYear "2022" @default.
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