The Fourier transform in variable exponent Lebesgue spaces

André Pedroso Kowacs, Wagner Augusto Almeida de Moraes

In this work we define a Fourier transform for each $f\in L^{p(\cdot )}(\mathbb{R})$, for a large class of exponent functions $p(\cdot )$, as the distributional derivative of a Hölde…