Geodesic
Two weight norm inequalities for fractional one-sided maximal and integral operators
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 35-46.

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

In this paper, we give a generalization of Fefferman-Stein inequality for the fractional one-sided maximal operator: $$ \int_{-\infty}^{+\infty} M_{\alpha}^+(f)(x)^p w(x)\,dx \leq A_p \int_{-\infty}^{+\infty} |f(x)|^p M_{\alpha p}^-(w)(x)\,dx, $$ where $0 \alpha 1$ and $1 p 1/\alpha $. We also obtain a substitute of dual theorem and weighted norm inequalities for the one-sided fractional integral $I_{\alpha}^+$.
Classification : 26A33, 26D10, 42B25
Keywords: one-sided fractional operators; weighted inequalities 
@article{CMUC_2006__47_1_a3,
     author = {De Rosa, Liliana},
     title = {Two weight norm inequalities for fractional one-sided maximal and integral operators},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {35--46},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {2006},
     mrnumber = {2223965},
     zbl = {1150.26310},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2006__47_1_a3/}
}
TY  - JOUR
AU  - De Rosa, Liliana
TI  - Two weight norm inequalities for fractional one-sided maximal and integral operators
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2006
SP  - 35
EP  - 46
VL  - 47
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2006__47_1_a3/
LA  - en
ID  - CMUC_2006__47_1_a3
ER  - 
%0 Journal Article
%A De Rosa, Liliana
%T Two weight norm inequalities for fractional one-sided maximal and integral operators
%J Commentationes Mathematicae Universitatis Carolinae
%D 2006
%P 35-46
%V 47
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2006__47_1_a3/
%G en
%F CMUC_2006__47_1_a3
De Rosa, Liliana. Two weight norm inequalities for fractional one-sided maximal and integral operators. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 35-46. http://geodesic.mathdoc.fr/item/CMUC_2006__47_1_a3/