The $\mathcal {L}_\nu ^{(\rho )}$-transformation on McBride’s spaces of generalized functions

Domingo Israel Cruz-Báez; Josemar Rodríguez

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Inversion integrals for the integral transforms involving the Meijer’s $G$ -function as kernel

R. U. Verma (1975)

Acta Universitatis Carolinae. Mathematica et Physica

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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

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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 $p : 1 \leq p < \infty$ there exist non-trivial weights $w$ such that $I_{α}^{+}$ is bounded from $L^{p} (w)$ into itself, even in the case $α > 1$ .

Integrability theorems for a generalized Laplace transform

Jorge J. Betancor, Javier A. Barrios (1989)

Extracta Mathematicae

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Iterated Stieltjes transform of generalized functions.

Dube, L.S. (1985)

International Journal of Mathematics and Mathematical Sciences

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Displaying similar documents to “The ℒ ν ( ρ ) -transformation on McBride’s spaces of generalized functions”

Inversion integrals for the integral transforms involving the Meijer’s G -function as kernel

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

Integrability theorems for a generalized Laplace transform

Iterated Stieltjes transform of generalized functions.

Displaying similar documents to “The $ℒ_{ν}^{(ρ)}$ -transformation on McBride’s spaces of generalized functions”

Inversion integrals for the integral transforms involving the Meijer’s $G$ -function as kernel

On conditions for the boundedness of the Weyl fractional integral on weighted $L^{p}$ spaces