Geodesic
Weighted Hardy inequalities and Hardy transforms of weights
Studia Mathematica, Tome 139 (2000) no. 2, pp. 189-196
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

Many problems in analysis are described as weighted norm inequalities that have given rise to different classes of weights, such as $A_p$-weights of Muckenhoupt and $B_p$-weights of Ariño and Muckenhoupt. Our purpose is to show that different classes of weights are related by means of composition with classical transforms. A typical example is the family $M_p$ of weights w for which the Hardy transform is $L_p(w)$-bounded. A $B_p$-weight is precisely one for which its Hardy transform is in $M_p$, and also a weight whose indefinite integral is in $A_{p+1}$
DOI : 10.4064/sm-139-2-189-196
Keywords: Hardy's inequalities, Hardy transform, weights 
@article{10_4064_sm_139_2_189_196,
     author = {Joan Cerd\`a and  },
     title = {Weighted {Hardy} inequalities and {Hardy} transforms of weights},
     journal = {Studia Mathematica},
     pages = {189--196},
     year = {2000},
     volume = {139},
     number = {2},
     doi = {10.4064/sm-139-2-189-196},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-139-2-189-196/}
}
TY  - JOUR
AU  - Joan Cerdà
AU  -  
TI  - Weighted Hardy inequalities and Hardy transforms of weights
JO  - Studia Mathematica
PY  - 2000
SP  - 189
EP  - 196
VL  - 139
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-139-2-189-196/
DO  - 10.4064/sm-139-2-189-196
LA  - en
ID  - 10_4064_sm_139_2_189_196
ER  - 
%0 Journal Article
%A Joan Cerdà
%A  
%T Weighted Hardy inequalities and Hardy transforms of weights
%J Studia Mathematica
%D 2000
%P 189-196
%V 139
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-139-2-189-196/
%R 10.4064/sm-139-2-189-196
%G en
%F 10_4064_sm_139_2_189_196
Joan Cerdà;  . Weighted Hardy inequalities and Hardy transforms of weights. Studia Mathematica, Tome 139 (2000) no. 2, pp. 189-196. doi: 10.4064/sm-139-2-189-196

Cité par Sources :