Results 241 to 250 of about 75,669 (266)

Fractional Integration in Weighted Lebesgue Spaces

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2021
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ON FRACTIONAL INTEGRATION IN WEIGHTED LORENTZ SPACES

The Quarterly Journal of Mathematics, 1997
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CIANCHI, ANDREA, D. E. EDMUNDS
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Fractional Integrals on Weighted H p Spaces

Transactions of the American Mathematical Society, 1985
The authors characterize those pairs of weights (u,v) on \({\mathbb{R}}^ n\) such that \(\| I_{\alpha}f\|_{H^ q_ u}\subseteq C\| f\|_{H^ p_ v ...
Gatto, Angel E., Gutiérrez, Cristian E., Wheeden, Richard L.   +2 more
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The Weighted Hp Estimates for Commutators of Fractional Integrals

Potential Analysis, 2022
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Han, Yanyan, Wu, Huoxiong
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Boundedness of fractional integrals on weighted Orlicz–Hardy spaces

Mathematical Methods in the Applied Sciences, 2013
Let Iα be the fractional integral on the Euclidean space , where α ∈ (0, n). Assume that Φ and Ψ are two Orlicz functions satisfying i(Φ), i(Ψ) ∈ (0, 1], and for all t ∈ (0, ∞ ), where i(Φ) and i(Ψ) are, respectively, the critical lower type indices of Φ and Ψ, and Φ − 1 and Ψ − 1 their inverses.
Cao, Jun, Chang, Der-Chen, Yang, Dachun, Yang, Sibei   +3 more
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Fractional Integration and Integral Representations in Weighted Classes of Harmonic Functions

Analysis Mathematica, 2000
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Weighted estimates for bilinear fractional integral operators

Mathematische Nachrichten, 2019
AbstractMoen (2016) proved weighted estimates for the bilinear fractional integrals where . We improve his results when and consider the case . As a corollary we obtain a bilinear Stein–Weiss inequality where .
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Weighted Generalizations of Some Fractional Integral Inequalities

Kocaeli Science Congress 2024 (KOSC-2024), 02-04 October 2024, Kocaeli / TÜRKİYE https://fefkongre.kocaeli.edu.tr ...
Budak, Hüseyin, Hezenci, Fatih
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Weighted Inequalities for the Fractional Maximal Operator and the Fractional Integral Operator

Zeitschrift für Analysis und ihre Anwendungen, 1996
A sufficient condition is given on weight functions u and v on \mathbb R^n for ...
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On Weighted Norm Inequalities for Fractional and Singular Integrals

Canadian Journal of Mathematics, 1971
In a recent paper [12] Muckenhoupt and Wheeden have established necessary and sufficient conditions for the validity of norm inequalities of the form ‖ |x|αTƒ ‖q ≦ C‖ |x|αƒ ‖p, where Tƒ denotes a Calderón and Zygmund singular integral of ƒ or a fractional integral with variable kernel. The purpose of the present paper is to prove, by somewhat different
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