Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications

Vakhtang Kokilashvili, Alexander Meskhi, and Humberto Rafeiro. "Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications." Studia Mathematica 217.2 (2013): 159-178. <http://eudml.org/doc/285799>.

@article{VakhtangKokilashvili2013,
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.},
author = {Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro},
journal = {Studia Mathematica},
keywords = {commutators; singular operators; potential operators; Morrey spaces; elliptic equations},
language = {eng},
number = {2},
pages = {159-178},
title = {Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications},
url = {http://eudml.org/doc/285799},
volume = {217},
year = {2013},
}

TY - JOUR
AU - Vakhtang Kokilashvili
AU - Alexander Meskhi
AU - Humberto Rafeiro
TI - Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications
JO - Studia Mathematica
PY - 2013
VL - 217
IS - 2
SP - 159
EP - 178
AB - 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.
LA - eng
KW - commutators; singular operators; potential operators; Morrey spaces; elliptic equations
UR - http://eudml.org/doc/285799
ER -