Brézis, Haïm; Lieb, Elliott H. A relation between pointwise convergence of functions and convergence of functionals. (English) Zbl 0526.46037 Proc. Am. Math. Soc. 88, 486-490 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 1175 Documents MSC: 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence 35J60 Nonlinear elliptic equations Keywords:pointwise convergence of functionals; Lp space PDF BibTeX XML Cite \textit{H. Brézis} and \textit{E. H. Lieb}, Proc. Am. Math. Soc. 88, 486--490 (1983; Zbl 0526.46037) Full Text: DOI OpenURL