The BBM formula revisited

Haïm Brezis; Hoai Minh Nguyen

doi:10.4171/RLM/746

The BBM formula revisited

Haïm Brezis, Hoai Minh Nguyen

School of Arts and Sciences, Mathematics

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

42 Scopus citations

Abstract

In this paper, we revise the BBM formula due to J. Bourgain, H. Brezis, and P. Mironescu in [1].

Original language	English (US)
Pages (from-to)	515-533
Number of pages	19
Journal	Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Volume	27
Issue number	4
DOIs	https://doi.org/10.4171/RLM/746
State	Published - 2016

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

BV functions
Maximal functions
Non-local approximations
Sobolev spaces

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title = "The BBM formula revisited",

abstract = "In this paper, we revise the BBM formula due to J. Bourgain, H. Brezis, and P. Mironescu in [1].",

keywords = "BV functions, Maximal functions, Non-local approximations, Sobolev spaces",

author = "Ha{\"i}m Brezis and Nguyen, {Hoai Minh}",

note = "Funding Information: Research partially supported by NSF grant DMS-1207793 and by ITN {"}FIRST{"} of the European Commission, Grant Number PITN-GA-2009-238702.",

year = "2016",

doi = "10.4171/RLM/746",

language = "English (US)",

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journal = "Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni",

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T1 - The BBM formula revisited

AU - Brezis, Haïm

AU - Nguyen, Hoai Minh

N1 - Funding Information: Research partially supported by NSF grant DMS-1207793 and by ITN "FIRST" of the European Commission, Grant Number PITN-GA-2009-238702.

PY - 2016

Y1 - 2016

N2 - In this paper, we revise the BBM formula due to J. Bourgain, H. Brezis, and P. Mironescu in [1].

AB - In this paper, we revise the BBM formula due to J. Bourgain, H. Brezis, and P. Mironescu in [1].

KW - BV functions

KW - Maximal functions

KW - Non-local approximations

KW - Sobolev spaces

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M3 - Article

AN - SCOPUS:84990966811

SN - 1120-6330

VL - 27

SP - 515

EP - 533

JO - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni

JF - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni

IS - 4

ER -

The BBM formula revisited

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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