Function spaces and operator theory form a rich and interconnected subdiscipline of modern analysis, embracing a variety of spaces that measure function regularity and oscillatory behaviour alongside ...

Grand Lebesgue spaces have emerged as a versatile framework extending the classical Lebesgue spaces, allowing for a refined control over integrability properties of functions. These spaces accommodate ...

Let $Y$ be a Banach space, $1 \leqslant p < \infty$, and $U_p$ be the seminormed space of $Y$-valued Bochner measurable functions of a real variable which have finite ...

A simple expression is presented that is equivalent to the norm of the $L_v^p \to L_u^q$ embedding of the cone of quasi-concave functions in the case 0 < q < p < ∞ ...