On the Shape Fields Finiteness Principle

Fushuai Jiang; Garving K. Luli; Kevin O’Neill

doi:10.1093/imrn/rnab242

On the Shape Fields Finiteness Principle

Fushuai Jiang^*, Garving K. Luli, Kevin O’Neill

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

2 Citations (Scopus)

Abstract

In this paper, we improve the finiteness constant for the finiteness principles for C^m(Rⁿ, R^D) and C^m^−1,1(Rⁿ, R^D) selection proven in [19] and extend the more general shape fields finiteness principle to the vector-valued case.

Original language	English
Pages (from-to)	18895-18918
Number of pages	24
Journal	International Mathematics Research Notices
Volume	2022
Issue number	23
Online published	7 Sept 2021
DOIs	https://doi.org/10.1093/imrn/rnab242
Publication status	Published - Dec 2022
Externally published	Yes

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title = "On the Shape Fields Finiteness Principle",

abstract = "In this paper, we improve the finiteness constant for the finiteness principles for Cm(Rn, RD) and Cm−1,1(Rn, RD) selection proven in [19] and extend the more general shape fields finiteness principle to the vector-valued case.{\textcopyright} The Author(s) 2021.",

author = "Fushuai Jiang and Luli, {Garving K.} and Kevin O{\textquoteright}Neill",

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doi = "10.1093/imrn/rnab242",

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T1 - On the Shape Fields Finiteness Principle

AU - Jiang, Fushuai

AU - Luli, Garving K.

AU - O’Neill, Kevin

N1 - Publisher Copyright: © The Author(s) 2021.

PY - 2022/12

Y1 - 2022/12

N2 - In this paper, we improve the finiteness constant for the finiteness principles for Cm(Rn, RD) and Cm−1,1(Rn, RD) selection proven in [19] and extend the more general shape fields finiteness principle to the vector-valued case.© The Author(s) 2021.

AB - In this paper, we improve the finiteness constant for the finiteness principles for Cm(Rn, RD) and Cm−1,1(Rn, RD) selection proven in [19] and extend the more general shape fields finiteness principle to the vector-valued case.© The Author(s) 2021.

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U2 - 10.1093/imrn/rnab242

DO - 10.1093/imrn/rnab242

M3 - RGC 21 - Publication in refereed journal

AN - SCOPUS:85158040495

SN - 1073-7928

VL - 2022

SP - 18895

EP - 18918

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 23

ER -

On the Shape Fields Finiteness Principle

Abstract

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