New estimates of the maximal Bochner–Riesz operator in the plane

Xiaochun Li; Shukun Wu

doi:10.1007/s00208-020-02038-w

New estimates of the maximal Bochner–Riesz operator in the plane

Xiaochun Li
, Shukun Wu

Mathematics

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

Abstract

We prove new L^p-estimates with 1 < p< 2 for the maximal Bochner–Riesz operator in the plane.

Original language	English (US)
Pages (from-to)	873-890
Number of pages	18
Journal	Mathematische Annalen
Volume	378
Issue number	3-4
Early online date	Jul 24 2020
DOIs	https://doi.org/10.1007/s00208-020-02038-w
State	Published - Dec 1 2020

ASJC Scopus subject areas

General Mathematics

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10.1007/s00208-020-02038-w

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title = "New estimates of the maximal Bochner{\textendash}Riesz operator in the plane",

abstract = "We prove new Lp-estimates with 1 < p< 2 for the maximal Bochner{\textendash}Riesz operator in the plane.",

author = "Xiaochun Li and Shukun Wu",

note = "X. Li is supported by a Simons (Grant no. 617526) fellowship in mathematics. The authors would like to express their gratitude to the referee for reading this article carefully and providing numerous valuable suggestions, which help us greatly improve presentation of the paper.",

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AU - Li, Xiaochun

AU - Wu, Shukun

N1 - X. Li is supported by a Simons (Grant no. 617526) fellowship in mathematics. The authors would like to express their gratitude to the referee for reading this article carefully and providing numerous valuable suggestions, which help us greatly improve presentation of the paper.

PY - 2020/12/1

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N2 - We prove new Lp-estimates with 1 < p< 2 for the maximal Bochner–Riesz operator in the plane.

AB - We prove new Lp-estimates with 1 < p< 2 for the maximal Bochner–Riesz operator in the plane.

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DO - 10.1007/s00208-020-02038-w

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New estimates of the maximal Bochner–Riesz operator in the plane

Abstract

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