A Remark on Piecewise Linear Interpolation of Continuous Fourier Multipliers
摘要
Classical results by de Leeuw (Ann Math (2) 81:364–379, 1965) and Jodeit (Studia Math, 34:215–226, 1970) imply that, for every continuous Fourier multiplier a on $$L^p(\mathbb {R})$$ , $$1