Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1982. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE / Bibliography: leaves 89-93. / by Joseph Yukich. / Ph.D.

Yung Po-lam. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 62-64). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- The basics of doubling measures --- p.7 / Chapter 2.1 --- Existence of doubling measures --- p.7 / Chapter 2.2 --- More examples of doubling measures --- p.16 / Chapter 3 --- Doubling of self-similar measures --- p.20 / Chapter 3.1 --- Open set condition and doubling --- p.24 / Chapter 3.2 --- Examples of doubling with OSC --- p.31 / Chapter 3.3 --- Bernoulli convolution and golden ratio --- p.41 / Chapter 4 --- Applications of doubling measures --- p.48 / Chapter 4.1 --- Singular integral operators --- p.48 / Chapter 4.2 --- Poincare inequalities and local Sobolev embedding --- p.56 / Chapter 4.3 --- Remarks --- p.60 / Bibliography --- p.62

Bibliography : leaves 115-119 / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Pure Mathematics, 1994

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258 leaves : appendix, offprints / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--Dept. of Mathematical Physics, University of Adelaide, 1973

Thesis (Ph. D.)--University of Wisconsin--Madison, 1966. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1983. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 93-96).

This paper discusses the concept of a general definition of measure, and shows that the Lebesgue measure satisfies the requirements set forth for the ideal definition.

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