Geodesic
Reverse-Holder classes in the Orlicz spaces setting
Studia Mathematica, Tome 130 (1998) no. 3, pp. 245-261 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

In connection with the $A_ϕ $ classes of weights (see [K-T] and [B-K]), we study, in the context of Orlicz spaces, the corresponding reverse-Hölder classes $RH_ϕ$. We prove that when ϕ is $Δ_2$ and has lower index greater than one, the class $RH_ϕ$ coincides with some reverse-Hölder class $RH_q,q>1$. For more general ϕ we still get $RH_ϕ ⊂ A_∞ = ⋃_{q>1}RH_q$ although the intersection of all these $RH_ϕ$ gives a proper subset of $⋂_{q>1}RH_q$.
DOI : 10.4064/sm-130-3-245-261
Keywords: reverse-Hölder class, $A_p$ classes of Muckenhoupt, Orlicz spaces 
@article{10_4064_sm_130_3_245_261,
     author = {E. Harboure and O. Salinas and B.  Viviani},
     title = {Reverse-Holder classes in the {Orlicz} spaces setting},
     journal = {Studia Mathematica},
     pages = {245--261},
     year = {1998},
     volume = {130},
     number = {3},
     doi = {10.4064/sm-130-3-245-261},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-130-3-245-261/}
}
TY  - JOUR
AU  - E. Harboure
AU  - O. Salinas
AU  - B.  Viviani
TI  - Reverse-Holder classes in the Orlicz spaces setting
JO  - Studia Mathematica
PY  - 1998
SP  - 245
EP  - 261
VL  - 130
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-130-3-245-261/
DO  - 10.4064/sm-130-3-245-261
LA  - en
ID  - 10_4064_sm_130_3_245_261
ER  - 
%0 Journal Article
%A E. Harboure
%A O. Salinas
%A B.  Viviani
%T Reverse-Holder classes in the Orlicz spaces setting
%J Studia Mathematica
%D 1998
%P 245-261
%V 130
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-130-3-245-261/
%R 10.4064/sm-130-3-245-261
%G en
%F 10_4064_sm_130_3_245_261
E. Harboure; O. Salinas; B.  Viviani. Reverse-Holder classes in the Orlicz spaces setting. Studia Mathematica, Tome 130 (1998) no. 3, pp. 245-261. doi: 10.4064/sm-130-3-245-261

Cité par Sources :