With Applications to Uniformization Ntalampekos, Dimitrios. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text gw 2020 1st ed. 2020. monographic eng

electronic

electronic resource

access X, 186 p. 10 illus., 4 illus. in color. online resource. 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. by Dimitrios Ntalampekos. Functions of complex variables Potential theory (Mathematics) Functional analysis Measure theory Mathematical analysis Analysis (Mathematics) Functions of a Complex Variable Potential Theory Functional Analysis Measure and Integration Analysis QA331-355 515.9 9783030508050 https://doi.org/10.1007/978-3-030-50805-0 https://doi.org/10.1007/978-3-030-50805-0 200901 20200904105132.0 978-3-030-50805-0