scholarly journals GENERALIZED LOCAL MORREY SPACES AND MULTILINEAR COMMUTATORS GENERATED BY MARCINKIEWICZ INTEGRALS WITH ROUGH KERNEL ASSOCIATED WITH SCHRÖDINGER PERATORS AND LOCAL CAMPANATO FUNCTIONS

2018 ◽  
Vol 8 (5) ◽  
pp. 1369-1384
Keyword(s):  
Morrey Spaces ◽  
Rough Kernel ◽  
Marcinkiewicz Integrals ◽  
Multilinear Commutators ◽  
Local Morrey Spaces

scholarly journals Parabolic local Campanato estimates for commutators of parabolic fractional maximal and integral operators with rough kernel

Filomat ◽  
2020 ◽  
Vol 34 (4) ◽  
pp. 1147-1156
Author(s):  
Ferit Gürbüz
Keyword(s):  
Integral Operators ◽  
Morrey Spaces ◽  
Rough Kernel ◽  
Local Morrey Spaces

In this paper, the author introduces parabolic generalized local Morrey spaces and parabolic local Campanato spaces, respectively and also establishes parabolic local Campanato estimates for commutators of parabolic fractional maximal and integral operators with rough kernel on parabolic generalized local Morrey spaces.

scholarly journals Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Runqing Cui ◽  
Zhang Li
Keyword(s):  
Morrey Spaces ◽  
Rough Kernel ◽  
Marcinkiewicz Integrals ◽  
Weighted Morrey Spaces

We will study the boundedness of Marcinkiewicz integrals with rough kernel on the generalized weighted Morrey spaces. We will also prove that the commutator operators formed by aBMORnfunction and Marcinkiewicz integrals are also bounded on the generalized weighted Morrey spaces.

scholarly journals 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

2016 ◽  
Vol 14 (1) ◽  
pp. 300-323 ◽  
Author(s):  
Ferit Gurbuz
Keyword(s):  
Large Class ◽  
Morrey Spaces ◽  
Rough Kernel ◽  
Campanato Space ◽  
Marcinkiewicz Operator ◽  
Sublinear Operators ◽  
Special Cases ◽  
Local Morrey Spaces

AbstractIn 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.

Norm inequalities on variable exponent vanishing Morrey type spaces for the rough singular type integral operators

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Ferit Gürbüz ◽  
Shenghu Ding ◽  
Huili Han ◽  
Pinhong Long
Keyword(s):  
Integral Operator ◽  
Singular Integral ◽  
Variable Exponent ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Rough Kernel ◽  
Type Integral ◽  
Type Spaces ◽  
Bounded Sets ◽  
Littlewood Maximal Operator

AbstractIn this paper, applying the properties of variable exponent analysis and rough kernel, we study the mapping properties of rough singular integral operators. Then, we show the boundedness of rough Calderón–Zygmund type singular integral operator, rough Hardy–Littlewood maximal operator, as well as the corresponding commutators in variable exponent vanishing generalized Morrey spaces on bounded sets. In fact, the results above are generalizations of some known results on an operator basis.

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