Function spaces

function spaces generalizing finite-dimensional p norm spaces

set of functions of a given kind from a set X to a set Y; it is called a space because in many applications it is a topological space (including metric spaces), a vector space, or both

Banach space of functions equipped with a norm that is a combination of Lᵖ-norms of the function itself and its weak derivatives up to a given order

type of continuity of a complex-valued function

space of holomorphic functions on the unit disk or upper half plane

function space of all functions whose derivatives are rapidly decreasing

generalization of Sobolev spaces

function space