Citation
Mj. Carro et H. Heinig, Modular inequalities for the Calderon operator, TOHOKU MATH, 52(1), 2000, pp. 31-46
Citations number
14
Categorie Soggetti
Mathematics
Journal title
TOHOKU MATHEMATICAL JOURNAL
ISSN journal
00408735
→ ACNP
Volume
52
Issue
1
Year of publication
2000
Pages
31 - 46
Database
ISI
SICI code
0040-8735(200003)52:1<31:MIFTCO>2.0.ZU;2-5
Abstract
If P, Q : [0, infinity) --> are increasing functions and T is the Calderon
operator defined on positive or decreasing functions, then optimal modular
inequalities integral P(Tf) less than or equal to C integral Q(f) are prove
d. If P = Q, the condition on P is both necessary and sufficient for the mo
dular inequality. In addition, we establish general interpolation theorems
for modular spaces.