Wagner Augusto Almeida de Moraes

Top-Degree global solvability for tube complexes in gevrey ultradistributions

Abstract Let $$s>1$$ s > 1 , let $$M$$ M be a connected, non-compact, oriented real-analytic manifold, and let $$\omega _1,\ldots ,\omega _m$$ ω 1 , … , ω m be real-valued closed 1-forms of Gevrey order s on M . We study the differential complex naturally associated with this fam...

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>...