Open Access
2008 Hardy inequality of fractional order
Petr Gurka, Bohumir Opic
Banach J. Math. Anal. 2(2): 9-15 (2008). DOI: 10.15352/bjma/1240336287
Abstract

We prove optimality of power-type weights in the Hardy inequality of fractional order.

References

1.

P. Gurka and B. Opic, Sharp embeddings of Besov spaces with logarithmic smoothness, Rev. Mat. Complut. 18 (1) (2005), 81–110. MR2135533 1083.46018P. Gurka and B. Opic, Sharp embeddings of Besov spaces with logarithmic smoothness, Rev. Mat. Complut. 18 (1) (2005), 81–110. MR2135533 1083.46018

2.

P. Gurka and B. Opic, Sharp embeddings of Besov-type spaces, J. Comput. Appl. Math. 208 (2007), 235–269. MR2347748 10.1016/j.cam.2006.10.036 1132.46022P. Gurka and B. Opic, Sharp embeddings of Besov-type spaces, J. Comput. Appl. Math. 208 (2007), 235–269. MR2347748 10.1016/j.cam.2006.10.036 1132.46022

3.

N. Krugljak, L. Maligranda and L.E. Persson, On an elementary approach to the fractional Hardy inequality, Proc. Amer. Math. Soc. 128 (2000), No. 3, 727–734. MR1676324 10.1090/S0002-9939-99-05420-9 0002-9939%28200003%29128%3A3%3C727%3AOAEATT%3E2.0.CO%3B2-Z 0935.26008N. Krugljak, L. Maligranda and L.E. Persson, On an elementary approach to the fractional Hardy inequality, Proc. Amer. Math. Soc. 128 (2000), No. 3, 727–734. MR1676324 10.1090/S0002-9939-99-05420-9 0002-9939%28200003%29128%3A3%3C727%3AOAEATT%3E2.0.CO%3B2-Z 0935.26008
Copyright © 2008 Tusi Mathematical Research Group
Petr Gurka and Bohumir Opic "Hardy inequality of fractional order," Banach Journal of Mathematical Analysis 2(2), 9-15, (2008). https://doi.org/10.15352/bjma/1240336287
Published: 2008
Vol.2 • No. 2 • 2008
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