TY - JOUR
T1 - Multi-Parameter Maximal Operators Associated with Finite Measures and Arbitrary Sets of Parameters
AU - Heo, Yaryong
N1 - Funding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology NRF-2015R1A1A1A05001304.
Publisher Copyright:
© 2016, Springer International Publishing.
PY - 2016/10/1
Y1 - 2016/10/1
N2 - In this paper we examine various singular maximal operators, extending the class of operators which have been studied extensively in the past. It extends work that has been done in the one-parameter to the multi-parameter setting. We obtain the Lp-boundedness properties of the multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters by assuming some Fourier decay and a certain geometric condition.
AB - In this paper we examine various singular maximal operators, extending the class of operators which have been studied extensively in the past. It extends work that has been done in the one-parameter to the multi-parameter setting. We obtain the Lp-boundedness properties of the multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters by assuming some Fourier decay and a certain geometric condition.
UR - http://www.scopus.com/inward/record.url?scp=84991316094&partnerID=8YFLogxK
U2 - 10.1007/s00020-016-2328-8
DO - 10.1007/s00020-016-2328-8
M3 - Article
AN - SCOPUS:84991316094
SN - 0378-620X
VL - 86
SP - 185
EP - 208
JO - Integral Equations and Operator Theory
JF - Integral Equations and Operator Theory
IS - 2
ER -