Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications
Volume 217 / 2013
Studia Mathematica 217 (2013), 159-178
MSC: Primary 42B20; Secondary 42B25, 42B35.
DOI: 10.4064/sm217-2-4
Abstract
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.
