Some weighted norm inequalities for a one-sided version of g*λ
L. de Rosa ; C. Segovia
Studia Mathematica, Tome 173 (2006), p. 21-36 / Harvested from The Polish Digital Mathematics Library
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We study the boundedness of the one-sided operator g⁺λ,φ between the weighted spaces Lp(M¯w) and Lp(w) for every weight w. If λ = 2/p whenever 1 < p < 2, and in the case p = 1 for λ > 2, we prove the weak type of g⁺λ,φ. For every λ > 1 and p = 2, or λ > 2/p and 1 < p < 2, the boundedness of this operator is obtained. For p > 2 and λ > 1, we obtain the boundedness of g⁺λ,φ from Lp((M¯)[p/2]+1w) to Lp(w), where (M¯)k denotes the operator M¯ iterated k times.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284771 
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     title = {Some weighted norm inequalities for a one-sided version of $g*\_{$\lambda$}$
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L. de Rosa; C. Segovia. Some weighted norm inequalities for a one-sided version of $g*_{λ}$
            . Studia Mathematica, Tome 173 (2006) pp. 21-36. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm176-1-2/