Regular subclasses in the Sobolev space W_{loc}^{1,n}

Donatella Bongiorno

Regular subclasses in the Sobolev space W_{loc}^{1,n}

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Abstract

Westudy some slight modifications of the class AC^n introduced in [D. Bongiorno,Absolutely continuous functions in Rn, J. Math. Anal. and Appl. 303 (2005) 119 134]. Inparticular we prove that the classes introduced in [C. Di Bari,C. Vetro, A remark on absolutely continuous functions in R^n, Rend. Circ. Matem. Palermo55 (2006) 296 304] are independent by and contain properly the class AC^n.

Original language	English
Pages (from-to)	3749-3754
Number of pages	5
Journal	NONLINEAR ANALYSIS
Volume	70
Publication status	Published - 2009

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Cite this

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title = "Regular subclasses in the Sobolev space W_{loc}^{1,n}",

abstract = "Westudy some slight modifications of the class AC^n introduced in [D. Bongiorno,Absolutely continuous functions in Rn, J. Math. Anal. and Appl. 303 (2005) 119 134]. Inparticular we prove that the classes introduced in [C. Di Bari,C. Vetro, A remark on absolutely continuous functions in R^n, Rend. Circ. Matem. Palermo55 (2006) 296 304] are independent by and contain properly the class AC^n.",

keywords = "Absolute continuity., Sobolev space, Absolute continuity., Sobolev space",

author = "Donatella Bongiorno",

year = "2009",

language = "English",

volume = "70",

pages = "3749--3754",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Regular subclasses in the Sobolev space W_{loc}^{1,n}

AU - Bongiorno, Donatella

PY - 2009

Y1 - 2009

N2 - Westudy some slight modifications of the class AC^n introduced in [D. Bongiorno,Absolutely continuous functions in Rn, J. Math. Anal. and Appl. 303 (2005) 119 134]. Inparticular we prove that the classes introduced in [C. Di Bari,C. Vetro, A remark on absolutely continuous functions in R^n, Rend. Circ. Matem. Palermo55 (2006) 296 304] are independent by and contain properly the class AC^n.

AB - Westudy some slight modifications of the class AC^n introduced in [D. Bongiorno,Absolutely continuous functions in Rn, J. Math. Anal. and Appl. 303 (2005) 119 134]. Inparticular we prove that the classes introduced in [C. Di Bari,C. Vetro, A remark on absolutely continuous functions in R^n, Rend. Circ. Matem. Palermo55 (2006) 296 304] are independent by and contain properly the class AC^n.

KW - Absolute continuity.

KW - Sobolev space

KW - Absolute continuity.

KW - Sobolev space

UR - http://hdl.handle.net/10447/62494

M3 - Article

VL - 70

SP - 3749

EP - 3754

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

ER -

Regular subclasses in the Sobolev space W_{loc}^{1,n}

Abstract

All Science Journal Classification (ASJC) codes

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