Marcinkiewicz integrals with rough kernel associated with Schrödinger operators and commutators on generalized vanishing local Morrey spaces

2018 ◽  
Vol 11 (3) ◽  
pp. 133-156 ◽  
Author(s):  
Ferit Gürbüz
Keyword(s):  
Schrödinger Operators ◽  
Morrey Spaces ◽  
Rough Kernel ◽  
Schrodinger Operators ◽  
Marcinkiewicz Integrals ◽  
Local Morrey Spaces

scholarly journals The Boundedness of Marcinkiewicz Integrals Associated with Schrödinger Operator on Morrey Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Dongxiang Chen ◽  
Fangting Jin
Keyword(s):  
Schrödinger Operator ◽  
Schrödinger Operators ◽  
Morrey Spaces ◽  
Schrodinger Operators ◽  
Schrodinger Operator ◽  
Marcinkiewicz Integrals ◽  
Reverse Hölder Class ◽  
Hölder Class ◽  
Holder Class ◽  
Reverse Hölder

LetL=-Δ+Vbe a Schrödinger operator, whereVbelongs to some reverse Hölder class. The authors establish the boundedness of Marcinkiewicz integrals associated with Schrödinger operators and their commutators on 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.

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