ALMOST EVERYWHERE CONVERGENCE OF BOCHNER–RIESZ MEANS FOR THE TWISTED LAPLACIAN

Eunhee Jeong; Sanghyuk Lee; Jaehyeon Ryu

doi:10.1090/tran/9176

ALMOST EVERYWHERE CONVERGENCE OF BOCHNER–RIESZ MEANS FOR THE TWISTED LAPLACIAN

Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu

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

Abstract

Let L denote the twisted Laplacian in C^d. We study almost everywhere convergence of the Bochner–Riesz mean S_t ^δ(L)f of f ∈ L^p(C^d) as t → ∞, which is an expansion of f in the special Hermite functions. For 2 ≤ p ≤ ∞, we obtain the sharp range of the summability indices δ for which the convergence of S_t ^δ(L)f holds for all f ∈ L^p(C^d).

Original language	English
Pages (from-to)	6171-6194
Number of pages	24
Journal	Transactions of the American Mathematical Society
Volume	377
Issue number	9
DOIs	https://doi.org/10.1090/tran/9176
State	Published - Sep 2024

Bibliographical note

Publisher Copyright:
© 2024 American Mathematical Society.

Keywords

Almost everywhere convergence
Bochner–Riesz means
Twisted Laplacian

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10.1090/tran/9176

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title = "ALMOST EVERYWHERE CONVERGENCE OF BOCHNER–RIESZ MEANS FOR THE TWISTED LAPLACIAN",

abstract = "Let L denote the twisted Laplacian in Cd. We study almost everywhere convergence of the Bochner–Riesz mean St δ(L)f of f ∈ Lp(Cd) as t → ∞, which is an expansion of f in the special Hermite functions. For 2 ≤ p ≤ ∞, we obtain the sharp range of the summability indices δ for which the convergence of St δ(L)f holds for all f ∈ Lp(Cd).",

keywords = "Almost everywhere convergence, Bochner–Riesz means, Twisted Laplacian",

author = "Eunhee Jeong and Sanghyuk Lee and Jaehyeon Ryu",

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Y1 - 2024/9

N2 - Let L denote the twisted Laplacian in Cd. We study almost everywhere convergence of the Bochner–Riesz mean St δ(L)f of f ∈ Lp(Cd) as t → ∞, which is an expansion of f in the special Hermite functions. For 2 ≤ p ≤ ∞, we obtain the sharp range of the summability indices δ for which the convergence of St δ(L)f holds for all f ∈ Lp(Cd).

AB - Let L denote the twisted Laplacian in Cd. We study almost everywhere convergence of the Bochner–Riesz mean St δ(L)f of f ∈ Lp(Cd) as t → ∞, which is an expansion of f in the special Hermite functions. For 2 ≤ p ≤ ∞, we obtain the sharp range of the summability indices δ for which the convergence of St δ(L)f holds for all f ∈ Lp(Cd).

KW - Almost everywhere convergence

KW - Bochner–Riesz means

KW - Twisted Laplacian

UR - https://www.scopus.com/pages/publications/85203078591

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JO - Transactions of the American Mathematical Society

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IS - 9

ER -

ALMOST EVERYWHERE CONVERGENCE OF BOCHNER–RIESZ MEANS FOR THE TWISTED LAPLACIAN

Abstract

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Keywords

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