Bennewitz, ChristerSaito, Yoshimi2020-08-182020-08-182002-10-09Bennewitz, C., & Saito, Y. (2002). An embedding norm and the Lindqvist trigonometric functions. <i>Electronic Journal of Differential Equations, 2002</i>(86), pp. 1-6.1072-6691https://hdl.handle.net/10877/12419We shall calculate the operator normTp 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 normTp, is expressed in terms of the function sin p which is a generalization of the usual sine function and was introduced by Lindqvist [6].Text6 pages1 file (.pdf)enAttribution 4.0 InternationalSobolev embedding operatorVolterra operatorArticle