A stability result on Muckenhoupt's weights.
Publicacions Matemàtiques, Tome 42 (1998) no. 1, p. 153-163.
We prove that Muckenhoupt's A1-weights satisfy a reverse Hölder inequality with an explicit and asymptotically sharp estimate for the exponent. As a by-product we get a new characterization of A1-weights.
Source:
Zbl
Classification : 42B25 
@article{PMATES_1998__42_1_41330,
     author = {Juha Kinnunen},
     title = {A stability result on {Muckenhoupt's} weights.},
     journal = {Publicacions Matem\`atiques},
     pages = {153-163},
     volume = {42},
     number = {1},
     year = {1998},
     zbl = {an:0919.42015},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/PMATES_1998__42_1_41330/}
}
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AU  - Juha Kinnunen
TI  - A stability result on Muckenhoupt's weights.
JO  - Publicacions Matemàtiques
PY  - 1998
SP  - 153
EP  - 163
VL  - 42
IS  - 1
UR  - https://geodesic-test.mathdoc.fr/item/PMATES_1998__42_1_41330/
LA  - en
ID  - PMATES_1998__42_1_41330
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%0 Journal Article
%A Juha Kinnunen
%T A stability result on Muckenhoupt's weights.
%J Publicacions Matemàtiques
%D 1998
%P 153-163
%V 42
%N 1
%U https://geodesic-test.mathdoc.fr/item/PMATES_1998__42_1_41330/
%G en
%F PMATES_1998__42_1_41330
Juha Kinnunen. A stability result on Muckenhoupt's weights.. Publicacions Matemàtiques, Tome 42 (1998) no. 1, p. 153-163. https://geodesic-test.mathdoc.fr/item/PMATES_1998__42_1_41330/