6533b7d9fe1ef96bd126bcc0

RESEARCH PRODUCT

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

Donatella Bongiorno

subject

Settore MAT/05 - Analisi MatematicaSobolev space Absolute continuity.

description

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]. In particular we prove that the classes introduced in [C. Di Bari, C. Vetro, A remark on absolutely continuous functions in R^n, Rend. Circ. Matem. Palermo 55 (2006) 296 304] are independent by and contain properly the class AC^n.

10.1016/j.na.2008.07.030http://hdl.handle.net/10447/62494