Criterion of the boundedness of a fractional integration type operator with variable upper limit in weighted Lebesgue spaces

2016 ◽  
Author(s):  
Akbota Abylayeva
Keyword(s):  
Fractional Integration ◽  
Type Operator ◽  
Lebesgue Spaces ◽  
Upper Limit ◽  
Weighted Lebesgue Spaces

scholarly journals Sharp bounds for general commutators on weighted Lebesgue spaces

2012 ◽  
Vol 364 (3) ◽  
pp. 1163-1177 ◽  
Author(s):  
Daewon Chung ◽  
M. Cristina Pereyra ◽  
Carlos Perez
Keyword(s):  
Lebesgue Spaces ◽  
Sharp Bounds ◽  
Weighted Lebesgue Spaces

Boundedness of integral operators associated with the Kontorovich–Lebedev transform in the Lebesgue spaces type

2020 ◽  
pp. 2150081
Author(s):  
Anis Kroumi
Keyword(s):  
Riesz Potential ◽  
Integral Operators ◽  
Type Operator ◽  
Maximal Operators ◽  
Lebesgue Spaces ◽  
Potential Type

In this paper, we prove the boundedness for the maximal and fractional maximal operators and Riesz potential-type operator associated with the Kontorovich–Lebedev transform (KL transform)in the [Formula: see text] spaces.

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