Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

Some weighted norm inequalities for a one-sided version of g * λ

L. de RosaC. Segovia — 2006

Studia Mathematica

We study the boundedness of the one-sided operator g λ , φ between the weighted spaces L p ( M ¯ w ) and L p ( 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 L p ( ( M ¯ ) [ p / 2 ] + 1 w ) to L p ( w ) , where ( M ¯ ) k denotes the operator M¯ iterated k times.

Weighted norm estimates for the maximal operator of the Laguerre functions heat diffusion semigroup

R. MacíasC. SegoviaJ. L. Torrea — 2006

Studia Mathematica

We obtain weighted L p boundedness, with weights of the type y δ , δ > -1, for the maximal operator of the heat semigroup associated to the Laguerre functions, k α k , when the parameter α is greater than -1. It is proved that when -1 < α < 0, the maximal operator is of strong type (p,p) if p > 1 and 2(1+δ)/(2+α) < p < 2(1+δ)/(-α), and if α ≥ 0 it is of strong type for 1 < p ≤ ∞ and 2(1+δ)/(2+α) < p. The behavior at the end points of the intervals where there is strong type is studied...

Page 1

Download Results (CSV)