Fourier coefficients of continuous functions and a class of multipliers
Fourier coefficients of continuous functions and a class of multipliers
If x is a bounded function on Z, the multiplier with symbol x (denoted by M x ) is defined by (M x f) ^=xf ^, fâL 2 (T). We give some conditions on x ensuring the âinterpolation inequalityâ â„M x fâ„ L p â€Câ„fâ„ L 1 α â„M x âŠ