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Unique solutions of some Voltera integral equations.

Gustaf Gripenberg (1981)

Mathematica Scandinavica

Variational fractals

Umberto Mosco (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Variations on the Theme of the Inequality (f')2 ... 2f sup |f''|.

Vladimir G. Maz'ja, Alois Kufner (1986)

Manuscripta mathematica

Weighted estimates for the Hankel-, $\underset{̲}{K}$ - and $Y$ - transformations

Salah A. A. Emara (1994)

Archivum Mathematicum

We give conditions on pairs of non-negative functions $u$ and $v$ which are sufficient that, for $0 < q < p$ , $p > 1$ $[\int_{0}^{\infty}]$

Weighted estimates for the integral operators with monotone kernel on a half-axis.

Stepanov, V.D., Ushakova, E.P. (2004) Sibirskij Matematicheskij Zhurnal

Weighted exponential inequalities.

Heinig, H.P., Kerman, R., Krbec, M. (2001) Georgian Mathematical Journal

Weighted Friedrichs inequalities in amalgams

Hans P. Heinig, Alois Kufner (1993) Czechoslovak Mathematical Journal

Weighted generalized weak type inequalities for modified Hardy operators.

Pedro Ortega Salvador (2000) Collectanea Mathematica

Weighted geometric mean inequalities over cones in $ℝ^{N}$ .

Gupta, Babita, Jain, Pankaj, Persson, Lars-Erik, Wedestig, Anna (2003)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Weighted Hardy inequalities and Hardy transforms of weights

Joan Cerdà, Joaquim Martín (2000)

Studia Mathematica

Many problems in analysis are described as weighted norm inequalities that have given rise to different classes of weights, such as $A_{p}$ -weights of Muckenhoupt and $B_{p}$ -weights of Ariño and Muckenhoupt. Our purpose is to show that different classes of weights are related by means of composition with classical transforms. A typical example is the family $M_{p}$ of weights w for which the Hardy transform is $L_{p} (w)$ -bounded. A $B_{p}$ -weight is precisely one for which its Hardy transform is in $M_{p}$ , and also a weight whose indefinite...

Weighted Hardy's inequalities for negative indices.

Dmitryi V. Prokhorov (2004)

Publicacions Matemàtiques

In the paper we obtain a precise characterization of Hardy type inequalities with weights for the negative indices and the indices between 0 and 1 and establish a duality between these cases.

Weighted Hardy's inequalities with mixed norm II

James Adedayo Oguntuase (2001)

Kragujevac Journal of Mathematics

Weighted inequalities and spectral problems.

Kufner, A. (2010)

Banach Journal of Mathematical Analysis [electronic only]

Weighted inequalities for Hardy-type operators involving suprema.

Amiran Gogatishvili, Bohumir Opic, Lubos Pick (2006)

Collectanea Mathematica

Weighted Inequalities for Multilinear Fractional Integral Operators.

Kabe Moen (2009)

Collectanea Mathematica

Weighted inequalities for potential operators on differential forms.

Bi, Hui (2010)

Journal of Inequalities and Applications [electronic only]

Weighted inequalities for the Sawyer two-dimensional Hardy operator and its limiting geometric mean operator.

Wedestig, Anna (2005)

Journal of Inequalities and Applications [electronic only]

Weighted integral inequalities with the geometric mean operator.

Persson, Lars-Erik, Stepanov, Vladimir D. (2002)

Journal of Inequalities and Applications [electronic only]

Weighted $L_{Φ}$ integral inequalities for operators of Hardy type

Steven Bloom, Ron Kerman (1994)

Studia Mathematica

Necessary and sufficient conditions are given on the weights t, u, v, and w, in order for $Φ_{2}^{- 1} (ʃ Φ_{2} (w (x) | T f (x) |) t (x) d x) \leq Φ_{1}^{- 1} (ʃ Φ_{1} (C u (x) | f (x) |) v (x) d x)$ to hold when $Φ_{1}$ and $Φ_{2}$ are N-functions with $Φ_{2} \circ Φ_{1}^{- 1}$ convex, and T is the Hardy operator or a generalized Hardy operator. Weak-type characterizations are given for monotone operators and the connection between weak-type and strong-type inequalities is explored.

Weighted Morrey-Herz spaces and applications.

Kuang, Jichang (2010)

Applied Mathematics E-Notes [electronic only]

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