Hardy spaces, originally devised to characterise the boundary behaviour of holomorphic functions, have evolved into a comprehensive framework within real-variable harmonic analysis. Their study has ...

This is a preview. Log in through your library . Abstract This paper concerns the isometric theory of the Lebesgue-Bochner function space $L^p (\mu, X)$ where $1 < p ...

Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

In this paper we show that Cπ(X), the set of continuous, real-valued functions on X topologized by the pointwise convergence topology, can have arbitrarily high Borel or projective complexity in RX ...

Perhaps the most beautiful aspect of mathematics is that it applies to literally everything, even things that do not exist in this Universe. In addition to this there are a number of alternative ways ...