An Embedding Norm and the Lindqvist Trigonometric Functions
| dc.contributor.author | Bennewitz, Christer | |
| dc.contributor.author | Saito, Yoshimi | |
| dc.date.accessioned | 2020-08-18T21:21:07Z | |
| dc.date.available | 2020-08-18T21:21:07Z | |
| dc.date.issued | 2002-10-09 | |
| dc.description.abstract | We shall calculate the operator norm | |
| dc.description.abstract | T | |
| dc.description.abstract | p of the Hardy operator Tƒ = ∫x0 ƒ, where 1 ≤ p ≤ ∞. This operator is related to the Sobolev embedding operator from W1,p (0,1)/ℂ into Wp (0,1)/ℂ. For 1 < p < ∞, the extremal, whose norm gives the operator norm | |
| dc.description.abstract | T | |
| dc.description.abstract | p, is expressed in terms of the function sin p which is a generalization of the usual sine function and was introduced by Lindqvist [6]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 6 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bennewitz, C., & Saito, Y. (2002). An embedding norm and the Lindqvist trigonometric functions. <i>Electronic Journal of Differential Equations, 2002</i>(86), pp. 1-6. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12419 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Sobolev embedding operator | |
| dc.subject | Volterra operator | |
| dc.title | An Embedding Norm and the Lindqvist Trigonometric Functions | |
| dc.type | Article |