Geodesic
Two-weighted estimates for generalized fractional maximal operators on non-homogeneous spaces
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 77-94.

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

Let $\mu $ be a nonnegative Borel measure on $\mathbb R^d$ satisfying that $\mu (Q)\le l(Q)^n$ for every cube $Q\subset \mathbb R^n$, where $l(Q)$ is the side length of the cube $Q$ and $0$. \endgraf We study the class of pairs of weights related to the boundedness of radial maximal operators of fractional type associated to a Young function $B$ in the context of non-homogeneous spaces related to the measure $\mu $. Our results include two-weighted norm and weak type inequalities and pointwise estimates. Particularly, we give an improvement of a two-weighted result for certain fractional maximal operator proved in W. Wang, C. Tan, Z. Lou (2012).
DOI : 10.21136/CMJ.2018.0337-16
Classification : 42B25
Keywords: non-homogeneous space; generalized fractional operator; weight 
@article{10_21136_CMJ_2018_0337_16,
     author = {Pradolini, Gladis and Recchi, Jorgelina},
     title = {Two-weighted estimates for generalized fractional maximal operators on non-homogeneous spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {77--94},
     publisher = {mathdoc},
     volume = {68},
     number = {1},
     year = {2018},
     doi = {10.21136/CMJ.2018.0337-16},
     mrnumber = {3783586},
     zbl = {06861568},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0337-16/}
}
TY  - JOUR
AU  - Pradolini, Gladis
AU  - Recchi, Jorgelina
TI  - Two-weighted estimates for generalized fractional maximal operators on non-homogeneous spaces
JO  - Czechoslovak Mathematical Journal
PY  - 2018
SP  - 77
EP  - 94
VL  - 68
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0337-16/
DO  - 10.21136/CMJ.2018.0337-16
LA  - en
ID  - 10_21136_CMJ_2018_0337_16
ER  - 
%0 Journal Article
%A Pradolini, Gladis
%A Recchi, Jorgelina
%T Two-weighted estimates for generalized fractional maximal operators on non-homogeneous spaces
%J Czechoslovak Mathematical Journal
%D 2018
%P 77-94
%V 68
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0337-16/
%R 10.21136/CMJ.2018.0337-16
%G en
%F 10_21136_CMJ_2018_0337_16
Pradolini, Gladis; Recchi, Jorgelina. Two-weighted estimates for generalized fractional maximal operators on non-homogeneous spaces. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 77-94. doi : 10.21136/CMJ.2018.0337-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0337-16/

Cité par Sources :