By a variant of the standard good λ inequality, we prove the Muckenhoupt-Wheeden inequality for measures which are not necessarily in the Muckenhoupt class. Moreover we can deal with a general potential operator, and consequently we obtain a suitable approach to the two weight inequality for such an operator when one of the weight functions satisfies a reverse doubling condition.
@article{urn:eudml:doc:41223,
title = {Improved Muckenhoupt-Wheeden inequality and weighted inequalities for potential operators.},
journal = {Publicacions Matem\`atiques},
volume = {39},
year = {1995},
pages = {23-41},
mrnumber = {MR1336354},
zbl = {0842.47031},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41223}
}
Rakotondratsimba, Y. Improved Muckenhoupt-Wheeden inequality and weighted inequalities for potential operators.. Publicacions Matemàtiques, Tome 39 (1995) pp. 23-41. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41223/