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Maximal noncompactness of wiener-hopf operators
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Orientador(es)
Resumo(s)
Let X(R) be a separable translation-invariant Banach function space and a be a Fourier multiplier on X(R). We prove that the Wiener-Hopf operator W(a) with symbol a is maximally noncompact on the space X(R+), that is, its Hausdorff measure of noncompactness, its essential norm, and its norm are all equal. This equality for the Hausdorff measure of noncompactness of W(a) is new even in the case of X(R)=Lp(R) with 1≤p<∞.
Descrição
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Palavras-chave
Essential norm Hausdorff measure of noncompactness Rearrangement-invariant space Translation-invariant space Wiener-Hopf operator Statistics and Probability General Mathematics Applied Mathematics