scholarly journals Weighted local Morrey spaces

2020 ◽  
Vol 45 (1) ◽  
pp. 67-93
Author(s):  
Shohei Nakamura ◽  
Yoshihiro Sawano ◽  
Hitoshi Tanaka
Keyword(s):  
Morrey Spaces ◽  
Local Morrey Spaces

Boundedness of some sublinear operators and their commutators on generalized local Morrey spaces

2017 ◽  
Vol 63 (11) ◽  
pp. 1620-1641
Author(s):  
A. S. Balakishiyev ◽  
E. A. Gadjieva ◽  
F. Gürbüz ◽  
A. Serbetci
Keyword(s):  
Morrey Spaces ◽  
Sublinear Operators ◽  
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 Commutators and generalized local Morrey spaces

2018 ◽  
Vol 457 (2) ◽  
pp. 1388-1402 ◽  
Author(s):  
V.S. Guliyev ◽  
M.N. Omarova ◽  
M.A. Ragusa ◽  
A. Scapellato
Keyword(s):  
Morrey Spaces ◽  
Local Morrey Spaces

On two-weight estimates for the maximal operator in local Morrey spaces

2014 ◽  
Vol 25 (11) ◽  
pp. 1450099 ◽  
Author(s):  
Natasha Samko
Keyword(s):  
Maximal Operator ◽  
General Type ◽  
Necessary Conditions ◽  
Sufficient Conditions ◽  
Morrey Spaces ◽  
Logarithmic Factor ◽  
Sufficient And Necessary Conditions ◽  
Local Morrey Spaces

For two weighted local Morrey spaces [Formula: see text] and [Formula: see text] we obtain general type sufficient conditions and necessary conditions imposed on the functions φ and ψ and the weights u and v for the boundedness of the maximal operator from [Formula: see text] to [Formula: see text], with some "logarithmic gap" between the sufficient and necessary conditions. Both the conditions formally coincide if we omit a certain logarithmic factor in these conditions.

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