Szego Seminar: "Weighted Norm Inequalities on Variable Lebesgue Spaces"

Abstract: The Lebesgue L^p spaces are a key class of function spaces in harmonic analysis. Variable Lebesgue spaces are a generalization of these spaces where the exponent p is itself a function of the underlying domain; if this exponent function is sufficiently nice, then the space has many of the same properties as the classical Lebesgue spaces. We explore one important such property, namely the boundedness of the Hardy-Littlewood maximal function, and consider several related theorems characterizing the spaces and weights for which the maximal function is bounded.

Host: Nathan Wagner