Maximal, Singular, and Potential Operators in Variable Exponent Lebesgue Spaces with Oscillating Weights

2016 ◽  
pp. 27-128
Author(s):  
Vakhtang Kokilashvili ◽  
Alexander Meskhi ◽  
Humberto Rafeiro ◽  
Stefan Samko
Keyword(s):  
Variable Exponent ◽  
Lebesgue Spaces ◽  
Potential Operators ◽  
Variable Exponent Lebesgue Spaces

scholarly journals Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates

2010 ◽  
Vol 2010 (1) ◽  
pp. 329571 ◽  
Author(s):  
Vakhtang Kokilashvili ◽  
Alexander Meskhi ◽  
Muhammad Sarwar
Keyword(s):  
Variable Exponent ◽  
Lebesgue Spaces ◽  
Potential Operators ◽  
Variable Exponent Lebesgue Spaces

Maximal and Calderón–Zygmund operators in grand variable exponent Lebesgue spaces

2014 ◽  
Vol 21 (4) ◽  
Author(s):  
Vakhtang Kokilashvili ◽  
Alexander Meskhi
Keyword(s):  
Variable Exponent ◽  
Function Spaces ◽  
Lebesgue Spaces ◽  
Variable Exponent Lebesgue Spaces

AbstractNew function spaces

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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