Modular inequalities for the Calderón operator

Carro, María J.; Heinig, Hans

Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 31-46 / Harvested from Project Euclid

Résumé

If $P,Q:[0,\infty)\to$ are increasing functions and $T$ is the Calderón operator defined on positive or decreasing functions, then optimal modular inequalities $\int P(Tf)\leq C\int Q(f)$ are proved. If $P=Q$, the condition on $P$ is both necessary and sufficient for the modular inequality. In addition, we establish general interpolation theorems for modular spaces.

Publié le : 2000-05-14
Classification: 46M35, 46E30

@article{1178224656,
     author = {Carro, Mar\'\i a J. and Heinig, Hans},
     title = {Modular inequalities for the Calder\'on operator},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 31-46},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178224656}
}

Carro, María J.; Heinig, Hans. Modular inequalities for the Calderón operator. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  31-46. http://gdmltest.u-ga.fr/item/1178224656/