$LH^\omega$-SMOOTH BUMP FUNCTIONS IN WEIGHTED ORLICZ SEQUENCE SPACES

Title$LH^\omega$-SMOOTH BUMP FUNCTIONS IN WEIGHTED ORLICZ SEQUENCE SPACES
Publication TypeJournal Article
Year of Publication2002
AuthorsZlatanov B.
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume94
Pagination85-90
ISSN0205-0808
Keywordssmooth bump function, weighted Orlicz sequence space
Abstract

An exact estimate is given for the modulus of smoothness in weighted Orlicz sequence spaces and the best order of $LH^\omega$-smoothness of bump functions is found for $\alpha \leq 2$.

2000 MSC

46B45, 46E39

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