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. © de Gruyter 2005.
| Original language | English |
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| Pages (from-to) | 361-373 |
| Journal | Forum Mathematicum |
| Volume | 17 |
| Issue number | 3 |
| Publication status | Published - 1 Jan 2005 |