scientific article

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Riesz representation theorem analytic sets Fubini theorem Haar measure change of variables differentiation Egoroff's theorem Lebesgue measure Bochner integral Lusin theorem Radon-Nikodym theorem Polish spaces product measure Caratheodory method of measurability duals of Lp spaces measurability of functions measure- decomposition theorems

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Integration with respect to measures and other set functions (28A25) Implicit function theorems, Jacobians, transformations with several variables (26B10) Measures and integrals in product spaces (28A35) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration (28-01) Abstract differentiation theory, differentiation of set functions (28A15)

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