Metric measure spaces serve as a unifying setting for analysis and geometry beyond the classical Euclidean framework. Equipped with a metric to quantify distances and a measure to assess size, these ...
Maximal function theory has long been a cornerstone of harmonic analysis, providing indispensable tools for understanding pointwise behaviour of functions. Within the context of Sobolev spaces, which ...
Fourier analysis and approximation theory form a cornerstone of modern mathematical analysis, concerned with the representation of functions by basic oscillatory components and the quantification of ...