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A relation between pointwise convergence of functions and convergence of functionals. (English) Zbl 0526.46037

##### 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
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