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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B. Florkiewicz (1980)
Colloquium Mathematicae
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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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Leonardo Colzani, Javier Pérez Lázaro (2010)
Colloquium Mathematicae
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We prove that peak shaped eigenfunctions of the one-dimensional uncentered Hardy-Littlewood maximal operator are symmetric and homogeneous. This implies that the norms of the maximal operator on L(p) spaces are not attained.
Pedro Ortega Salvador (2000)
Collectanea Mathematica
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Alois Kufner (1993)
Collectanea Mathematica
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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.
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Studia Mathematica
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Mamedov, F. (2000)
Bulletin of TICMI
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Sibirskij matematiceskij zurnal
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