APPROXIMATION NUMBERS OF SOBOLEV EMBEDDING OPERATORS ON AN INTERVAL

Autor:	Yoshimi Saito, Christer Bennewitz
Rok vydání:	2004
Předmět:	Discrete mathematics Sobolev space Multiplication operator General Mathematics p-Laplacian Compact operator Operator space Operator norm Trace operator Mathematics Sobolev inequality
Zdroj:	Journal of the London Mathematical Society. 70:244-260
ISSN:	1469-7750 0024-6107
Popis:	Consider the Sobolev embedding operator from the space of functions in W-1,W-p(I) with average zero into L-p, where I is a finite interval and p > 1. This operator plays an important role in recent work. The operator norm and its approximation numbers in closed form are calculated. The closed form of the norm and approximation numbers of several similar Sobolev embedding operators on a finite interval have recently been found. It is proved in the paper that most of these operator norms and approximation numbers on a finite interval are the same.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3aed824afb530fdd14a12b7f35b31c10 https://doi.org/10.1112/s0024610704005459 Zobrazit plný text záznamu Plný text