THE HARDY OPERATOR, L(INFINITY), AND BMO

Authors
LAI QS PICK L
Citation
Qs. Lai et L. Pick, THE HARDY OPERATOR, L(INFINITY), AND BMO, Journal of the London Mathematical Society, 48, 1993, pp. 167-177
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Journal of the London Mathematical Society → ACNP
ISSN journal
00246107
Volume
48
Year of publication
1993
Part
1
Pages
167 - 177
Database
ISI
SICI code
0024-6107(1993)48:<167:THOLAB>2.0.ZU;2-F
Abstract
We give necessary and sufficient conditions in order that the Hardy op erator is bounded from an arbitrary weighted Banach function space (X, v) into L(infinity) or weighted BMO. Moreover, we give necessary and sufficient conditions in order that the Hardy operator is compact from (X, v) into L(infinity) or non-weighted BMO. Applications to the case of weighted BMO are discussed as well.