Geodesic
Some Linear Operators in the Lp Spaces
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 648-654

Voir la notice de l'article provenant de la source Cambridge University Press

Let Lp,1 ≦ p< ∞, denote the space of all functions ƒ (real or complex) such that ƒ and |ƒ|p are variationally integrable (see 2, p. 40, for definition) with respect to a pair h of interval functions in an elementary set E. In what follows, we fix both h and E and assume that h = {hl ht}is variationally integrable and hs ≧ 0 (s = l, r)in E. Further, let L∞ denote the space of all functions ƒ (real or complex) which are h-measurable (cf. 2, p. 95) and bounded almost everywhere, i.e. except in a set X satisfying (cf. 2, p. 47) V(h; E; X)= 0. 
Peng-Yee, Lee. Some Linear Operators in the Lp Spaces. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 648-654. doi: 10.4153/CJM-1969-073-0
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