Fractional Maximal Operator on Musielak–Orlicz Spaces Over Unbounded Quasi-Metric Measure Spaces

2021 ◽  
Vol 76 (4) ◽  
Author(s):  
Yoshihiro Sawano ◽  
Tetsu Shimomura
Keyword(s):  
Maximal Operator ◽  
Orlicz Spaces ◽  
Metric Measure Spaces ◽  
Fractional Maximal Operator ◽  
Measure Spaces

scholarly journals Mapping properties of the discrete fractional maximal operator in metric measure spaces

2013 ◽  
Vol 53 (3) ◽  
pp. 693-712 ◽  
Author(s):  
Toni Heikkinen ◽  
Juha Kinnunen ◽  
Juho Nuutinen ◽  
Heli Tuominen
Keyword(s):  
Maximal Operator ◽  
Metric Measure Spaces ◽  
Fractional Maximal Operator ◽  
Measure Spaces

Commutators of Fractional Maximal Operator on Orlicz Spaces

2018 ◽  
Vol 104 (3-4) ◽  
pp. 498-507
Author(s):  
V. S. Guliyev ◽  
F. Deringoz ◽  
S. G. Hasanov
Keyword(s):  
Maximal Operator ◽  
Orlicz Spaces ◽  
Fractional Maximal Operator

scholarly journals Morrey Spaces for Nonhomogeneous Metric Measure Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Cao Yonghui ◽  
Zhou Jiang
Keyword(s):  
Integral Operator ◽  
Maximal Operator ◽  
Fractional Integral ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Fractional Integral Operator ◽  
Marcinkiewicz Integral ◽  
Metric Measure Spaces ◽  
Measure Spaces ◽  
Definition Of

The authors give a definition of Morrey spaces for nonhomogeneous metric measure spaces and investigate the boundedness of some classical operators including maximal operator, fractional integral operator, and Marcinkiewicz integral operators.

scholarly journals A WEAK-(p, q) INEQUALITY FOR FRACTIONAL INTEGRAL OPERATOR ON MORREY SPACES OVER METRIC MEASURE SPACES

2016 ◽  
Vol 8 (1) ◽  
pp. 1
Author(s):  
Idha Sihwaningrum
Keyword(s):  
Integral Operator ◽  
Maximal Operator ◽  
Fractional Integral ◽  
Morrey Spaces ◽  
Fractional Integral Operator ◽  
Metric Measure Spaces ◽  
Measure Spaces

This paper presents a weak-(p, q) inequality for fractional integral operator on Morrey spaces over metric measure spaces of nonhomogeneous type. Both parameters p and q are greater than or equal to one. The weak-(p, q) inequality is proved by employing an inequality involving maximal operator on the spaces under consideration.

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