Two weight norm inequalities for fractional one-sided maximal and integral operators

Liliana De Rosa

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Weighted estimates of a measure of noncompactness for maximal and potential operators.

Asif, Muhammad, Meskhi, Alexander (2008)

Journal of Inequalities and Applications [electronic only]

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Weighted inequalities for anisotropic maximal functions

Vachtang Michailovič Kokilashvili, Jiří Rákosník (1985)

Časopis pro pěstování matematiky

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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 $α > 1$ .

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

Weighted estimates of a measure of noncompactness for maximal and potential operators.

Weighted inequalities for anisotropic maximal functions

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

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