Study of Littlewood’s Three Principles, Egoroff’s Theorem, and Lusin’s Theorem
Keywords:
Principles, techniquesAbstract
Three Principles after John Edensor Littlewood (1885–1977). Quoting from the Saint AndrewsMath HistoryWebpage: “Almost all of Littlewood’s mathematical research was in classical analysis, but in this area he looked at a remarkable range of subjects and he used an even broader range of techniques in proving his results. For 35 years he collaborated with G. H. Hardy working on the theory of series, the Riemann zeta function, inequalities, and the theory of functions.
References
R.G.Bartle, The elements of integration, John Wiley & Sons, Inc.New York, 1966.
K.R.Parthsarthy, Introduction to Probability and measure, Macmillan Company of India
Ltd.,Delhi, 1977.
P.K.Jain and V.P.Gupta, Lebesgue measure and integration, New age International (P) Ltd.,
Publishers, New Delhi, 1986.