Problems and proofs in real analysis: theory of measure and integration [1 ed.] 9814578509, 9789814578509

This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition). Mo

493 95 4MB

English Pages 499 [500] Year 2014

Table of contents :
Contents
Preface
§1 Measure on a a-algebra of Sets
§2 Outer Measures
§3 Lebesgue Measure on R
§4 Measurable Functions
§5 Completion of Measure Space
§6 Convergence a.e. and Convergence in Measure
§7 Integration of Bounded Functions on Sets of Finite Measure
§8 Integration of Nonnegative Functions
§9 Integration of Measurable Functions
§ 10 Signed Measures
§ 11 Absolute Continuity of a Measure
§ 12 Monotone Functions and Functions of Bounded Variation
§13 Absolutely Continuous Functions
§ 16 The LP Spaces
§ 17 Relation among the LP Spaces
§ 18 Bounded Linear Functionals on the LP Spaces
§22 Lebesgue-Stieltjes Measure Spaces
§23 Product Measure Spaces
§24 Lebesgue Measure Space on the Euclidean Space
§25 Differentiation on the Euclidean Space

Problems and proofs in real analysis: theory of measure and integration [1 ed.]
9814578509, 9789814578509

Author / Uploaded
James J Yeh

Similar Topics
Mathematics
Analysis

Commentary
Added cover and bookmarks to item with MD5 b3eaa36e33dd6349c857237b2695c157.

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