|
In mathematics, the Besov space (named after Oleg Vladimirovich Besov) is a complete quasinormed space which is a Banach space when . It, as well as the similarly defined Triebel–Lizorkin space, serve to generalize more elementary function spaces and are effective at measuring regularity properties of functions. ==Definition== Several equivalent definitions exist. One of them is described below. Let : and define the modulus of continuity by : Let be a non-negative integer and define: with . The Besov space contains all functions such that (see Sobolev space) : 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Besov space」の詳細全文を読む スポンサード リンク
|