Potential Type Operators on Weighted Variable Exponent Lebesgue Spaces

2013 ◽  
pp. 323-347
Author(s):  
Vladimir Rabinovich
Keyword(s):  
Variable Exponent ◽  
Lebesgue Spaces ◽  
Variable Exponent Lebesgue Spaces ◽  
Potential Type ◽  
Weighted Variable ◽  
Potential Type Operators

scholarly journals Basis property of the haar system in weighted variable exponent Lebesgue spaces

2014 ◽  
Author(s):  
М.Г. Магомед-Касумов
Keyword(s):  
Variable Exponent ◽  
Haar System ◽  
Basis Property ◽  
Lebesgue Spaces ◽  
Variable Exponent Lebesgue Spaces ◽  
Weighted Variable

Найдены достаточные условия, при которых система Хаара образует базис в весовых пространствах Лебега с переменным показателем.

The refined direct and converse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces

2011 ◽  
Vol 18 (3) ◽  
pp. 399-423
Author(s):  
Ramazan Akgün ◽  
Vakhtang Kokilashvili
Keyword(s):  
Variable Exponent ◽  
Trigonometric Approximation ◽  
Lebesgue Spaces ◽  
Converse Theorems ◽  
Variable Exponent Lebesgue Spaces ◽  
Weighted Variable

Abstract Refined direct and converse theorems of trigonometric approximation are proved in the variable exponent Lebesgue spaces with weights satisfying some Muckenhoupt Ap -condition. As a consequence, the refined versions of Marchaud and its converse inequalities are obtained.

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