Book contents
The microscopic behavior of measurable functions
from PURE MATHEMATICS
Published online by Cambridge University Press: 30 March 2017
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Nonstandard Methods and Applications in Mathematics , pp. 123 - 126Publisher: Cambridge University PressPrint publication year: 2006
References
, A general covering lemma for the real line, Real Analysis Exchange, vol. 17, (1991/92), pp. 394–398.Google Scholar
, Star-finite representations of measure spaces, Transactions of the American Mathematical Society, vol. 271, (1982), pp. 667–687.Google Scholar
, A general form of the covering principle and relative differentiation of additive functions (I), Mathematical Proceedings of the Cambridge Philosophical Society, vol. 41, (1945), pp. 103–110.Google Scholar
, A general form of the covering principle and relative differentiation of additive functions (II), Mathematical Proceedings of the Cambridge Philosophical Society, vol. 42, (1946), pp. 1–10.Google Scholar
and , A reduction technique for limit theorems in analysis and probability theory, Arkiv för Matematik, vol. 30, (1992), no. 1, pp. 25–43.Google Scholar
, Measurable functions and almost continuous functions, Manuscripta Mathematica, vol. 33, (1981), pp. 387–405.Google Scholar
and , On the best constant for the Besicovitch covering theorem, Proceedings of the American Mathematical Society, vol. 121, (1994), pp. 1063–1073.Google Scholar
and , The measurability of uncountable unions, The American Mathmatical Monthly, vol. 91, (1984), pp. 85–97.Google Scholar
and , Covering theorems and Lebesgue integration, Scientiae Mathematicae Japonicae, vol. 53, (2001), pp. 209–221.Google Scholar
and , Lusin's theorem and Bochner integration, Scientiae Mathematicae Japonicae, vol. 60, (2004), pp. 113–120.Google Scholar
, Lifting theorems in nonstandard measure theory, Proceedings of the American Mathematical Society, vol. 109, (1990), pp. 809–822.Google Scholar