MAXIMAL NONCOMPACTNESS OF WIENER-HOPF OPERATORS
Abstract
Abstract Let $$X(\mathbb {R})$$ X ( R ) be a separable translation-invariant Banach function space and a be a Fourier multiplier on $$X(\mathbb {R})$$ X ( R ) . We prove that the Wiener-Hopf operator W ( a ) with symbol a is maximally noncompact on the space $$X(\mathbb {R}_+)$$ 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 $$X(\mathbb {R})=L^p(\mathbb {R})$$ X ( R ) = L p ( R ) with $$1\le p
Fields of Study & Subjects
Holomorphic and Operator Theory
Advanced Banach Space Theory
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Journal of Mathematical Sciences
- Volume
- 298
- Issue
- 3
- Pages
- 438–447
- Publication date
- 7 January 2026
- Language
- EN