Lectures on Analysis on Metric Spaces
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Beschreibung
Analysis is an outgrowth of calculus which considers functions defined in Euclidean spaces which have derivatives. The theory of distributions and Sobolev spaces allowed mathematicians to extend these ideas to functions which were no longer differentiable. Recent developments in complex analysis have permitted researchers to replace Euclidean spaces by general metric spaces. The author is a great expositor and gives a first taste of this exciting new area.
Autor*in
Juha Heinonen
Themen in »Lectures on Analysis on Metric Spaces«
Area Finite Sobolev space behavior calculus development eXist equality form inequality mapping maximum quasiconformal mapping theorem types