Geodesic
Fractional Hardy inequality with a remainder term
Bartłomiej Dyda1
1 Faculty of Mathematics University of Bielefeld Postfach 10 01 31 D-33501 Bielefeld, Germany and Institute of Mathematics and Computer Science Wrocław University of Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland
Colloquium Mathematicum, Tome 122 (2011) no. 1, pp. 59-67.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove a Hardy inequality for the fractional Laplacian on the interval with the optimal constant and additional lower order term. As a consequence, we also obtain a fractional Hardy inequality with the best constant and an extra lower order term for general domains, following the method of M. Loss and C. Sloane [J. Funct. Anal. 259 (2010)].
DOI : 10.4064/cm122-1-6
Keywords: prove hardy inequality fractional laplacian interval optimal constant additional lower order term consequence obtain fractional hardy inequality best constant extra lower order term general domains following method loss sloane funct anal

Bartłomiej Dyda 1

1 Faculty of Mathematics University of Bielefeld Postfach 10 01 31 D-33501 Bielefeld, Germany and Institute of Mathematics and Computer Science Wrocław University of Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland 
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Bartłomiej Dyda. Fractional Hardy inequality with a remainder term. Colloquium Mathematicum, Tome 122 (2011) no. 1, pp. 59-67. doi : 10.4064/cm122-1-6. http://geodesic.mathdoc.fr/articles/10.4064/cm122-1-6/

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