In the setting of spaces of homogeneous type, it is shown that the commutator of Calderón-Zygmund type operators as well as the commutator of a potential operator with a BMO function are bounded in a generalized grand Morrey space. Interior estimates for solutions of elliptic equations are also given in the framework of generalized grand Morrey spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-2-4,
author = {Vakhtang Kokilashvili and Alexander Meskhi and Humberto Rafeiro},
title = {Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications},
journal = {Studia Mathematica},
volume = {215},
year = {2013},
pages = {159-178},
zbl = {1292.42009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-2-4}
}
Vakhtang Kokilashvili; Alexander Meskhi; Humberto Rafeiro. Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications. Studia Mathematica, Tome 215 (2013) pp. 159-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-2-4/