---
_id: '2324'
abstract:
- lang: eng
text: We determine the sharp constant in the Hardy inequality for fractional Sobolev
spaces on half-spaces. Our proof relies on a nonlinear and nonlocal version of
the ground state representation.
alternative_title:
- International Mathematical Series
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Frank R, Seiringer R. Sharp fractional Hardy inequalities in half-spaces.
In: Around the Research of Vladimir Maz’ya I. Vol 11. Springer; 2010:161-167.
doi:10.1007/978-1-4419-1341-8_6'
apa: Frank, R., & Seiringer, R. (2010). Sharp fractional Hardy inequalities
in half-spaces. In Around the Research of Vladimir Maz’ya I (Vol. 11, pp.
161–167). Springer. https://doi.org/10.1007/978-1-4419-1341-8_6
chicago: Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities
in Half-Spaces.” In Around the Research of Vladimir Maz’ya I, 11:161–67.
Springer, 2010. https://doi.org/10.1007/978-1-4419-1341-8_6.
ieee: R. Frank and R. Seiringer, “Sharp fractional Hardy inequalities in half-spaces,”
in Around the Research of Vladimir Maz’ya I, vol. 11, Springer, 2010, pp.
161–167.
ista: 'Frank R, Seiringer R. 2010.Sharp fractional Hardy inequalities in half-spaces.
In: Around the Research of Vladimir Maz’ya I. International Mathematical Series,
vol. 11, 161–167.'
mla: Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in
Half-Spaces.” Around the Research of Vladimir Maz’ya I, vol. 11, Springer,
2010, pp. 161–67, doi:10.1007/978-1-4419-1341-8_6.
short: R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer,
2010, pp. 161–167.
date_created: 2018-12-11T11:56:59Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:46Z
day: '01'
doi: 10.1007/978-1-4419-1341-8_6
extern: 1
intvolume: ' 11'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0906.1561
month: '01'
oa: 1
page: 161 - 167
publication: Around the Research of Vladimir Maz'ya I
publication_status: published
publisher: Springer
publist_id: '4603'
quality_controlled: 0
status: public
title: Sharp fractional Hardy inequalities in half-spaces
type: book_chapter
volume: 11
year: '2010'
...