A new Brézis‐Gallouët‐Wainger inequality from the viewpoint of the real interpolation functors
Copyright policy )A new Brézis‐Gallouët‐Wainger inequality from the viewpoint of the real interpolation functors
The Brézis‐Gallouët‐Wainger inequality describes a subtle embedding property into . The relation between the Brézis‐Gallouët‐Wainger inequality and the real interpolation functor together with the sharpness of the results is discussed in the present paper. As our first main results shows, it turns out that there are two intermediate terms between and the logarithmic boundedness, which is supposed to be the right‐hand side of the Brézis‐Gallouët‐Wainger inequality. As the second result, the first result is extended to inequalities which reflect the meaning of the second index of Besov spaces and the interpolation theorem.
real interpolation functor, Besov spaces, Interpolation between normed linear spaces, endpoint case, Inequalities involving derivatives and differential and integral operators, Brézis-Gallouët-Wainger inequality, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Function spaces arising in harmonic analysis, Sobolev embedding
real interpolation functor, Besov spaces, Interpolation between normed linear spaces, endpoint case, Inequalities involving derivatives and differential and integral operators, Brézis-Gallouët-Wainger inequality, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Function spaces arising in harmonic analysis, Sobolev embedding
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!