Displaying similar documents to “Two weight norm inequalities for fractional one-sided maximal and integral operators”

On conditions for the boundedness of the Weyl fractional integral on weighted L p spaces

Liliana De Rosa, Alberto de la Torre (2004)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this paper we give a sufficient condition on the pair of weights ( w , v ) for the boundedness of the Weyl fractional integral I α + from L p ( v ) into L p ( w ) . Under some restrictions on w and v , this condition is also necessary. Besides, it allows us to show that for any p : 1 ≤ p < ∞ there exist non-trivial weights w such that I α + is bounded from L p ( w ) into itself, even in the case α > 1 .