Criteria of boundedness of one class of volterra type integral operators in weighted lebesgue spaces

2020 ◽  
Vol 138 (2) ◽  
pp. 737-742
Author(s):  
А.А. Kalybay ◽  
Keyword(s):  
Integral Operators ◽  
Lebesgue Spaces ◽  
Volterra Type ◽  
Weighted Lebesgue Spaces ◽  
Type Integral

scholarly journals Volterra Type Integral Operators and Composition Operators on Model Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Tesfa Mengestie
Keyword(s):  
Composition Operators ◽  
Integral Operators ◽  
Volterra Type ◽  
Open Problems ◽  
Type Integral ◽  
Model Spaces

We study some mapping properties of Volterra type integral operators and composition operators on model spaces. We also discuss and give out a couple of interesting open problems in model spaces where any possible solution of the problems can be used to study a number of other operator theoretic related problems in the spaces.

On the Volterra μ-functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators

2016 ◽  
Vol 19 (2) ◽  
Author(s):  
Alireza Ansari
Keyword(s):  
Integral Equations ◽  
Integral Operators ◽  
Volterra Type ◽  
Type Integral

AbstractIn this note we consider some classes of integral equations with the M-Wright functions as kernels. We show that the Volterra

scholarly journals On bilinear weighted inequalities with Volterra integral operators

2019 ◽  
Vol 486 (4) ◽  
pp. 416-420
Author(s):  
V. D. Stepanov ◽  
G. E. Shambilova
Keyword(s):  
Sufficient Conditions ◽  
Integral Operators ◽  
Necessary And Sufficient Conditions ◽  
Weighted Inequalities ◽  
Lebesgue Spaces ◽  
Weighted Lebesgue Spaces ◽  
Necessary And Sufficient

Necessary and sufficient conditions on the boundedness in weighted Lebesgue spaces on the semiaxis for bilinear inequalities with Volterra integral operators are given.

scholarly journals Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's condition

2009 ◽  
Vol 7 (1) ◽  
pp. 43-59 ◽  
Author(s):  
Vagif S. Guliyev
Keyword(s):  
Singular Integral ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Convolution Operators ◽  
Lebesgue Spaces ◽  
Weighted Lebesgue Spaces ◽  
Hörmander’S Condition

In this paper, we present some sufficient conditions for the boundedness of convolution operators that their kernel satisfies a certain version of Hörmander's condition, in the weighted Lebesgue spacesLp,ω(ℝn).

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