Lipschitz Spaces and Mixed Lebesgue Spaces
Copyright policy )Lipschitz Spaces and Mixed Lebesgue Spaces
It is shown that translation invariant linear operators which improve Lipschitz classes behave almost as well as the corresponding fractional Riesz transforms when applied to the mixed Lebesgue spaces. These results partially generalize some of the theorems concerning Riesz transforms and mixed Lebesgue classes due to Adams and Bagby, Lizorkin, and others.
- Iowa State University United States
Convolution as an integral transform, mixed Lebesgue spaces, Riesz transform, Special properties of functions of several variables, Hölder conditions, etc., Besov spaces, Lipschitz classes, translation invariant linear operators, convolution operators, Multipliers for harmonic analysis in several variables, fractional Riesz transforms
Convolution as an integral transform, mixed Lebesgue spaces, Riesz transform, Special properties of functions of several variables, Hölder conditions, etc., Besov spaces, Lipschitz classes, translation invariant linear operators, convolution operators, Multipliers for harmonic analysis in several variables, fractional Riesz transforms
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