Weighted Integral Inequalities for the Hardy Type Operator and the Fractional Maximal Operator

1994 ◽  
Vol 49 (2) ◽  
pp. 244-266 ◽  
Author(s):  
Lai Qinsheng
Keyword(s):  
Maximal Operator ◽  
Integral Inequalities ◽  
Type Operator ◽  
Fractional Maximal Operator ◽  
Hardy Type ◽  
Weighted Integral ◽  
Hardy Type Operator

scholarly journals The boundedness of commutators of rough p-adic fractional Hardy type operators on Herz-type spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Amjad Hussain ◽  
Naqash Sarfraz ◽  
Ilyas Khan ◽  
Abdelaziz Alsubie ◽  
Nawaf N. Hamadneh
Keyword(s):  
Function Spaces ◽  
Type Operator ◽  
Hardy Type ◽  
Type Spaces ◽  
Hardy Type Operator ◽  
Hardy Type Operators

AbstractIn this paper, we obtain some inequalities about commutators of a rough p-adic fractional Hardy-type operator on Herz-type spaces when the symbol functions belong to two different function spaces.

Weighted L Φ Integral Inequalities for Maximal Operators

1996 ◽  
Vol 3 (6) ◽  
pp. 583-600
Author(s):  
Y. Rakotondratsimba
Keyword(s):  
Maximal Operator ◽  
Necessary Conditions ◽  
Integral Inequalities ◽  
Maximal Operators ◽  
Weight Functions ◽  
Fractional Maximal Operator

Abstract Sufficient (almost necessary) conditions are given on the weight functions u(·), v(·) for to hold when Φ1, Φ2 are -functions with subadditive , and Ms (0 ≤ s < n), is the usual fractional maximal operator.

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