Geodesic
An equivalent definition of the vector-valued McShane integral by means of partitions of unity
L. Di Piazza 1   ; V. Marraffa 1
1 Department of Mathematics University of Palermo Via Archirafi, 34 90123 Palermo, Italy
Studia Mathematica, Tome 151 (2002) no. 2, pp. 175-185 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

An integral for vector-valued functions on a $\sigma $-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.
DOI : 10.4064/sm151-2-5
Keywords: integral vector valued functions sigma finite outer regular quasi radon measure space defined means partitions unity shown equivalent mcshane integral multipliers mcshane pettis integrals characterized

L. Di Piazza  1   ; V. Marraffa  1

1 Department of Mathematics University of Palermo Via Archirafi, 34 90123 Palermo, Italy 
@article{10_4064_sm151_2_5,
     author = {L. Di Piazza and V. Marraffa},
     title = {An equivalent definition of the vector-valued
 {McShane} integral by means of partitions of unity},
     journal = {Studia Mathematica},
     pages = {175--185},
     year = {2002},
     volume = {151},
     number = {2},
     doi = {10.4064/sm151-2-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm151-2-5/}
}
TY  - JOUR
AU  - L. Di Piazza
AU  - V. Marraffa
TI  - An equivalent definition of the vector-valued
 McShane integral by means of partitions of unity
JO  - Studia Mathematica
PY  - 2002
SP  - 175
EP  - 185
VL  - 151
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm151-2-5/
DO  - 10.4064/sm151-2-5
LA  - en
ID  - 10_4064_sm151_2_5
ER  - 
%0 Journal Article
%A L. Di Piazza
%A V. Marraffa
%T An equivalent definition of the vector-valued
 McShane integral by means of partitions of unity
%J Studia Mathematica
%D 2002
%P 175-185
%V 151
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm151-2-5/
%R 10.4064/sm151-2-5
%G en
%F 10_4064_sm151_2_5
L. Di Piazza; V. Marraffa. An equivalent definition of the vector-valued
 McShane integral by means of partitions of unity. Studia Mathematica, Tome 151 (2002) no. 2, pp. 175-185. doi: 10.4064/sm151-2-5

Cité par Sources :