TY - JOUR
T1 - Commutators of sublinear operators in grand morrey spaces
AU - Kokilashvili, Vakhtang
AU - Meskhi, Alexander
AU - Rafeiro, Humberto
N1 - Funding Information:
Acknowledgement. V. Kokilashvili and A. Meskhi were supported by Shota Rustaveli National Science Foundation Grant, Project No. FR-18-2499.
Funding Information:
The research of H. Rafeiro was supported by a Research Start-up Grant of United Arab Emirates University, Al Ain, United Arab Emirates via Grant No. G00002994.
Publisher Copyright:
© 2019 Akadémiai Kiadó.
PY - 2019/6
Y1 - 2019/6
N2 - In this paper we establish the boundedness of commutators of sublinear operators in weighted grand Morrey spaces. The sublinear operators under consideration contain integral operators such as Hardy-Littlewood and fractional maximal operators, Calderón- Zygmund operators, potential operators etc. The operators and spaces are defined on quasi-metric measure spaces with doubling measure.
AB - In this paper we establish the boundedness of commutators of sublinear operators in weighted grand Morrey spaces. The sublinear operators under consideration contain integral operators such as Hardy-Littlewood and fractional maximal operators, Calderón- Zygmund operators, potential operators etc. The operators and spaces are defined on quasi-metric measure spaces with doubling measure.
KW - Commutators
KW - Fractional integrals
KW - Singular integrals
KW - Spaces of homogeneous type
KW - Sublinear operators
KW - Weighted grand Morrey spaces
KW - Weighted inequality
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U2 - 10.1556/012.2019.56.2.1425
DO - 10.1556/012.2019.56.2.1425
M3 - Article
AN - SCOPUS:85114416382
SN - 0081-6906
VL - 56
SP - 211
EP - 232
JO - Studia Scientiarum Mathematicarum Hungarica
JF - Studia Scientiarum Mathematicarum Hungarica
IS - 2
ER -