A study of some constants characterizing the weighted Hardy inequality
Alois Kufner, Lars-Erik Persson, Anna Wedestig (2004)
Banach Center Publications
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Alois Kufner, Lars-Erik Persson, Anna Wedestig (2004)
Banach Center Publications
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Raman Adegoke, James Adedayo Oguntuase (2001)
Kragujevac Journal of Mathematics
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James Adedayo Oguntuase (2001)
Kragujevac Journal of Mathematics
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Oguntuase, J.A., Persson, L.-E., Essel, E.K., Popoola, B.A. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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R. Kerman, A. Torchinsky (1982)
Studia Mathematica
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B. Florkiewicz (1980)
Colloquium Mathematicae
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Canqin Tang, Feien Xue, Yu Zhou (2011)
Annales Polonici Mathematici
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A sufficient condition for boundedness on Herz-type spaces of the commutator generated by a Lipschitz function and a weighted Hardy operator is obtained.
B. Florkiewicz, A. Rybarski (1972)
Colloquium Mathematicae
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Mostafa A. Nasr (1977)
Annales Polonici Mathematici
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Appel, Matthew J., Bourdon, Paul S., Thrall, John J. (1996)
Experimental Mathematics
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Alois Kufner (1993)
Collectanea Mathematica
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Stathis Filippas, Achilles Tertikas, Jesper Tidblom (2009)
Journal of the European Mathematical Society
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Iwona Skrzypczak (2014)
Banach Center Publications
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We apply general Hardy type inequalities, recently obtained by the author. As a consequence we obtain a family of Hardy-Poincaré inequalities with certain constants, contributing to the question about precise constants in such inequalities posed in [3]. We confirm optimality of some constants obtained in [3] and [8]. Furthermore, we give constants for generalized inequalities with the proof of their optimality.