Format:
1 Online-Ressource(X, 186 p. 10 illus., 4 illus. in color.)
Edition:
1st ed. 2020.
ISBN:
9783030508050
Series Statement:
Lecture Notes in Mathematics 2268
Content:
This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs from the classical approach of potential theory in metric spaces. The second part describes how this theory is utilized to prove a uniformization result for Sierpiński carpets. This book is intended for researchers in the fields of potential theory, quasiconformal geometry, geometric group theory, complex dynamics, geometric function theory and PDEs.
Additional Edition:
ISBN 9783030508043
Additional Edition:
ISBN 9783030508067
Additional Edition:
Erscheint auch als Druck-Ausgabe Ntalampekos, Dimitrios Potential theory on Sierpiński carpets Cham : Springer, 2020 ISBN 9783030508043
Language:
English
Keywords:
Sierpiński-Teppich
;
Potenzialtheorie
DOI:
10.1007/978-3-030-50805-0
