Geodesic
Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels
Archivum mathematicum, Tome 50 (2014) no. 2, pp. 77-96

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces are proved. The integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.
DOI : 10.5817/AM2014-2-77
Classification : 42B20, 42B25
Keywords: multilinear operator; singular integral operator; BMO space; Orlicz space; Littlewood-Paley operator; Marcinkiewicz operator; Bochner-Riesz operator 
@article{10_5817_AM2014_2_77,
     author = {Lanzhe, Liu},
     title = {Mean {Oscillation} and {Boundedness} of {Multilinear} {Integral} {Operators} with {General} {Kernels}},
     journal = {Archivum mathematicum},
     pages = {77--96},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {2014},
     doi = {10.5817/AM2014-2-77},
     mrnumber = {3215281},
     zbl = {06391567},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2014-2-77/}
}
TY  - JOUR
AU  - Lanzhe, Liu
TI  - Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels
JO  - Archivum mathematicum
PY  - 2014
SP  - 77
EP  - 96
VL  - 50
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2014-2-77/
DO  - 10.5817/AM2014-2-77
LA  - en
ID  - 10_5817_AM2014_2_77
ER  - 
%0 Journal Article
%A Lanzhe, Liu
%T Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels
%J Archivum mathematicum
%D 2014
%P 77-96
%V 50
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2014-2-77/
%R 10.5817/AM2014-2-77
%G en
%F 10_5817_AM2014_2_77
Lanzhe, Liu. Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels. Archivum mathematicum, Tome 50 (2014) no. 2, pp. 77-96. doi: 10.5817/AM2014-2-77

Cité par Sources :