scholarly journals Odd asymmetric factorization of Wiener-Hopf plus Hankel operators on variable exponent Lebesgue spaces

2017 ◽  
Author(s):  
L. P. Castro ◽  
A. S. Silva
Keyword(s):  
Variable Exponent ◽  
Hankel Operators ◽  
Lebesgue Spaces ◽  
Variable Exponent Lebesgue Spaces

scholarly journals Invertibility characterization of Wiener–Hopf plus Hankel operators on variable exponent Lebesgue spaces via even asymmetric factorization

2016 ◽  
Vol 23 (4) ◽  
pp. 477-488
Author(s):  
Luís P. Castro ◽  
Anabela S. Silva
Keyword(s):  
Real Line ◽  
Variable Exponent ◽  
Hankel Operators ◽  
Lebesgue Spaces ◽  
The Real ◽  
Variable Exponent Lebesgue Spaces

AbstractWe obtain invertibility and Fredholm criteria for the Wiener–Hopf plus Hankel operators acting between variable exponent Lebesgue spaces on the real line. Such characterizations are obtained via the so-called even asymmetric factorization, which is applied to the Fourier symbols of the operators under study.

scholarly journals Estimates of Fractional Integral Operators on Variable Exponent Lebesgue Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Canqin Tang ◽  
Qing Wu ◽  
Jingshi Xu
Keyword(s):  
Integral Operator ◽  
Maximal Operator ◽  
Variable Exponent ◽  
Fractional Integral ◽  
Weak Type ◽  
Type Inequality ◽  
Integral Operators ◽  
Lebesgue Spaces ◽  
Fractional Integral Operators ◽  
Variable Exponent Lebesgue Spaces

By some estimates for the variable fractional maximal operator, the authors prove that the fractional integral operator is bounded and satisfies the weak-type inequality on variable exponent Lebesgue spaces.

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