André Pedroso Kowacs

The Fourier transform in variable exponent Lebesgue spaces

Abstract In this work we define a Fourier transform for each $$f\in L^{p(\cdot )}({{\,\mathrm{\mathbb {R}}\,}})$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>∈</mml:mo> <mml:msup> <mml:mi>L</mml:mi> <mml:mrow> <mml:mi>p</mml:mi>...