Using Orlicz space norms we define a set function property analogous to the A(infinity) condition for weights, and we characterize the Young functions which produce set functions with this property. As an application, we improve two-weight norm inequalities due to Cruz-Uribe and Perez [4] for fractional integrals and commutators.
The A(infinity) property for Young functions and weighted norm inequalities / D., Cruz Uribe; Fiorenza, Alberto. - In: HOUSTON JOURNAL OF MATHEMATICS. - ISSN 0362-1588. - STAMPA. - 28:(2002), pp. 169-182.
The A(infinity) property for Young functions and weighted norm inequalities
FIORENZA, ALBERTO
2002
Abstract
Using Orlicz space norms we define a set function property analogous to the A(infinity) condition for weights, and we characterize the Young functions which produce set functions with this property. As an application, we improve two-weight norm inequalities due to Cruz-Uribe and Perez [4] for fractional integrals and commutators.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
