Extension of the best approximation operator in Orlicz spaces and weak-type inequalities

Autor: Sergio Favier, Felipe Zò
Jazyk: angličtina
Rok vydání: 2001
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 6, Iss 2, Pp 101-114 (2001)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
10853375
DOI: 10.1155/S1085337501000446
Popis: We consider an extension of the best approximation operator from an Orlicz space L φ to the space L φ′, where φ′ denotes the derivative of φ, and we prove a weak-type inequality in this space. Further, we obtain some strong inequalities for suitable L ψ spaces.
Databáze: Directory of Open Access Journals