Semantic Scholar Open Access 2009 31 sitasi

Fractional Hardy inequality with a remainder term

Bartłomiej Dyda

Abstrak

We calculate the regional fractional Laplacian on some power function on an interval. As an application, we prove Hardy inequality with an extra term for the fractional Laplacian on the interval with the optimal constant. As a result, we obtain the fractional Hardy inequality with best constant and an extra lower-order term for general domains, following the method developed by M. Loss and C. Sloane [arXiv:0907.3054v1 [math.AP]]

Topik & Kata Kunci

Penulis (1)

B

Bartłomiej Dyda

Format Sitasi

Dyda, B. (2009). Fractional Hardy inequality with a remainder term. https://doi.org/10.4064/cm122-1-6

Akses Cepat

Lihat di Sumber doi.org/10.4064/cm122-1-6
Informasi Jurnal
Tahun Terbit
2009
Bahasa
en
Total Sitasi
31×
Sumber Database
Semantic Scholar
DOI
10.4064/cm122-1-6
Akses
Open Access ✓