Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces

Ferit Gurbuz. "Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces." Open Mathematics 14.1 (2016): 300-323. <http://eudml.org/doc/277100>.

@article{FeritGurbuz2016,
abstract = {In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator which satisfies the conditions of these theorems can be considered as an example.},
author = {Ferit Gurbuz},
journal = {Open Mathematics},
keywords = {Parabolic singular integral operator; Parabolic sublinear operator; Parabolic maximal operator; Rough kernel; Parabolic generalized local Morrey space; Parabolic local Campanato spaces; Commutator; parabolic singular integral operator; parabolic sublinear operator; parabolic maximal operator; rough kernel; parabolic generalized local Morrey spaces; parabolic local Campanato spaces; commutator},
language = {eng},
number = {1},
pages = {300-323},
title = {Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces},
url = {http://eudml.org/doc/277100},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Ferit Gurbuz
TI - Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 300
EP - 323
AB - In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator which satisfies the conditions of these theorems can be considered as an example.
LA - eng
KW - Parabolic singular integral operator; Parabolic sublinear operator; Parabolic maximal operator; Rough kernel; Parabolic generalized local Morrey space; Parabolic local Campanato spaces; Commutator; parabolic singular integral operator; parabolic sublinear operator; parabolic maximal operator; rough kernel; parabolic generalized local Morrey spaces; parabolic local Campanato spaces; commutator
UR - http://eudml.org/doc/277100
ER -