Refined multidimensional Hardy-type inequalities via superquadracity.
Oguntuase, J.A., Persson, L.-E., Essel, E.K., Popoola, B.A. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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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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M. Mateljević, M. Pavlović (1982)
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Colloquium Mathematicae
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Wu, Changhong, Liu, Lanzhe (2006)
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Lizaveta Ihnatsyeva, Juha Lehrbäck, Heli Tuominen, Antti V. Vähäkangas (2014)
Studia Mathematica
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We prove fractional order Hardy inequalities on open sets under a combined fatness and visibility condition on the boundary. We demonstrate by counterexamples that fatness conditions alone are not sufficient for such Hardy inequalities to hold. In addition, we give a short exposition of various fatness conditions related to our main result, and apply fractional Hardy inequalities in connection with the boundedness of extension operators for fractional Sobolev spaces.
Mostafa A. Nasr (1977)
Annales Polonici Mathematici
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Gurka, Petr, Opic, Bohumír (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Avkhadiev, F.G., Wirths, K.-J. (2002)
Lobachevskii Journal of Mathematics
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Liu, Lanzhe (2003)
Lobachevskii Journal of Mathematics
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Alois Kufner, Lars-Erik Persson, Anna Wedestig (2004)
Banach Center Publications
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Yamashita, Shinji (1982)
International Journal of Mathematics and Mathematical Sciences
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B. Florkiewicz (1980)
Colloquium Mathematicae
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