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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

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 .

On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support

M. Belhadj, Jorge J. Betancor (2004)

Czechoslovak Mathematical Journal

In this paper we study Beurling type distributions in the Hankel setting. We consider the space ( w ) ' of Beurling type distributions on ( 0 , ) having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space ( w ) ' . We also establish Paley Wiener type theorems for Hankel transformations of distributions in ( w ) ' .

On K-transform.

Nasim, C. (1981)

International Journal of Mathematics and Mathematical Sciences

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