Weighted estimates for the Hankel-, - and - transformations
We give conditions on pairs of non-negative functions and which are sufficient that, for ,
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Salah A. A. Emara (1994)
Archivum Mathematicum
We give conditions on pairs of non-negative functions and which are sufficient that, for ,
Stepanov, V.D., Ushakova, E.P. (2004)
Sibirskij Matematicheskij Zhurnal
Heinig, H.P., Kerman, R., Krbec, M. (2001)
Georgian Mathematical Journal
Hans P. Heinig, Alois Kufner (1993)
Czechoslovak Mathematical Journal
Pedro Ortega Salvador (2000)
Collectanea Mathematica
Gupta, Babita, Jain, Pankaj, Persson, Lars-Erik, Wedestig, Anna (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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 -weights of Muckenhoupt and -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 of weights w for which the Hardy transform is -bounded. A -weight is precisely one for which its Hardy transform is in , and also a weight whose indefinite...
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.
James Adedayo Oguntuase (2001)
Kragujevac Journal of Mathematics
Kufner, A. (2010)
Banach Journal of Mathematical Analysis [electronic only]
Amiran Gogatishvili, Bohumir Opic, Lubos Pick (2006)
Collectanea Mathematica
Kabe Moen (2009)
Collectanea Mathematica
Bi, Hui (2010)
Journal of Inequalities and Applications [electronic only]
Wedestig, Anna (2005)
Journal of Inequalities and Applications [electronic only]
Persson, Lars-Erik, Stepanov, Vladimir D. (2002)
Journal of Inequalities and Applications [electronic only]
Steven Bloom, Ron Kerman (1994)
Studia Mathematica
Necessary and sufficient conditions are given on the weights t, u, v, and w, in order for to hold when and are N-functions with 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.
Kuang, Jichang (2010)
Applied Mathematics E-Notes [electronic only]
Christoph J. Neugebauer (1991)
Publicacions Matemàtiques
We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫0x f of monotone functions.
K. Andersen, R. Kerman (1981)
Studia Mathematica
R. Coifman, C. Fefferman (1974)
Studia Mathematica
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