Henstock-Kurzweil Sobolev Space

Ponente(s): Tomás Pérez Becerra

Sobolev spaces, defined as integrable functions whose weak derivative is integrable, are useful to ensure the existence and uniqueness of weak solutions to problems in ordinary differential equations. In this talk, we will show some properties of these spaces if we consider the integrable functions in the sense of Henstock Kurzweil, which allows generalizing some classic results of the Lebesgue integral.