Equivalent expressions for norms in classical Lorentz spaces

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Títol:	Equivalent expressions for norms in classical Lorentz spaces
Autor/a:	Boza, Santiago; Martín i Pedret, Joaquim
Abstract:	We characterize the weights w such that ∫0∞ f(s)pw(s) ds ≃ ∫0∞ (f(s) - f(s))pw(s) ds. Our result generalizes a result due to Bennett-De Vore-Sharpley, where the usual Lorentz Lp,q norm is replaced by an equivalent expression involving the functional f** - f*. Sufficient conditions for the boundedness of maximal Calderón-Zygmund singular integral operators between classical Lorentz spaces are also given.
Matèries:	-Lorentz spaces -Hardy's operators -Weigh
Drets:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Tipus de document:	Article
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Uri:	https://ddd.uab.cat/record/271868

Boza, Santiago; Martín i Pedret, Joaquim

Boza, Santiago; Soria de Diego, F. Javier

Carro Rossell, María Jesús; Martín i Pedret, Joaquim

Cerdà Martín, Joan Lluís; Martín i Pedret, Joaquim

Cerdà Martín, Joan Lluís; Martín i Pedret, Joaquim; Silvestre, Pilar

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